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Online Math Equation Solver
Solve algebraic equations quickly and accurately with our online math equation solver. Supports linear, quadratic, multi-step, and fractional equations with detailed step-by-step solutions.
Answer
-490
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What Is This Tool?
This online math equation solver is designed to help users find solutions to a variety of algebraic equations. It supports different equation types including linear, quadratic, multi-step, and those involving fractions by using well-known algebraic methods and simplifications.
How to Use This Tool?
- Enter the algebraic equation you need to solve, making sure to use standard algebraic formatting
- Select the type of equation if the tool requires it (linear, quadratic, etc.) or let it identify automatically
- Click the calculate button to start the solving process
- Review the step-by-step solution provided to understand how the equation was simplified
- Use the final numerical or symbolic answer as needed
Key Features
- Solves linear equations using the formula x = (c - b) / a
- Handles quadratic equations with solutions x = (-b ± √(b² - 4ac)) / 2a
- Supports multi-step equation solving through inverse operations like addition, subtraction, multiplication, and division
- Clears fractions by multiplying equations through the least common denominator (LCD)
- Provides step-by-step simplifications to aid understanding
- Utilizes exact symbolic manipulation and high-precision numerical computations
Examples
- Solve the linear equation 3x - 5 = 16: Add 5 to both sides to get 3x = 21, then divide both sides by 3 to find x = 7
Common Use Cases
- Students needing quick solutions for algebra homework and practice problems
- Teachers and tutors preparing examples or verifying answers
- Professionals requiring visual verification of algebraic computations
- Checking and understanding step-by-step solution processes for equations
Tips & Best Practices
- Ensure equations are entered in standard algebraic format to avoid errors
- Use parentheses to clarify operations and avoid ambiguity
- When fractions are present, double-check if the LCD is properly considered by the solver
- Review each simplification step to improve understanding of the solving process
- Use this tool as a complement to manual solving for learning and verification
Limitations
- May not solve highly complex equations such as implicit equations or systems of nonlinear equations unless they are simplified first
- Requires the input to follow standard algebraic expression formatting
- Cannot handle symbolic expressions outside of standard algebraic forms
- Performance and accuracy depend on the equation complexity and formatting
Frequently Asked Questions
- What types of equations can this solver handle?
- It can solve linear equations, quadratic equations, multi-step equations, and equations with fractions by applying algebraic simplification methods.
- Can the solver provide step-by-step solutions?
- Yes, the solver shows detailed step-by-step simplifications along with the final solution to help with understanding.
- Is there a limit to the complexity of equations I can solve here?
- The solver may not handle very complex equations such as implicit or nonlinear systems unless simplified and formatted properly.
- How accurate are the numerical solutions?
- Numerical solutions rely on high-precision floating-point arithmetic while exact symbolic manipulation is used when possible.
Key Terminology
- x
- The unknown variable being solved for in an equation.
- a, b, c
- Numerical coefficients in algebraic equations that multiply or add to variables.
- LCD
- Least common denominator used to clear fractions from equations by multiplication.