Equation solver calculator
There are many types of equations, so there are different methods to solve each type. However, I can provide a general step-by-step process for solving equations:
- Simplify both sides of the equation as much as possible by combining like terms and using the distributive property if necessary.
- Move all the variable terms to one side of the equation and move all the constant terms to the other side.
- If the equation contains fractions, multiply both sides by the denominator of the fraction to eliminate the fraction.
- If the equation contains variables on both sides of the equation, combine the like terms to get them on the same side of the equation.
- If the equation contains absolute values, consider both positive and negative cases and solve for each.
- Use inverse operations to isolate the variable on one side of the equation.
- Check the solution by plugging it back into the original equation to see if it works.
- If the equation has multiple variables, solve for one variable in terms of the other and substitute it into the other equation.
- Repeat the steps until you solve for all the variables.
There are various types of equations that can be solved, and the step-by-step process can vary depending on the type of equation. Here are the steps for solving a linear equation with one variable:
- Write the equation in standard form: ax + b = c, where a, b, and c are constants and x is the variable.
- Isolate the variable term (the term with x) by moving all other terms to the other side of the equation using inverse operations.
- Simplify both sides of the equation by combining like terms, if necessary.
- Divide both sides of the equation by the coefficient of the variable term to isolate the variable.
- Check your answer by plugging it back into the original equation and verifying that it satisfies the equation.
For quadratic equations, the steps are a bit more involved:
- Write the equation in standard form: ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
- Use the quadratic formula: x = (-b ± sqrt(b^2 – 4ac)) / 2a.
- Simplify the expression inside the square root by calculating the discriminant, b^2 – 4ac.
- If the discriminant is positive, there are two real roots. If it is zero, there is one real root. If it is negative, there are two complex roots.
- Use the formula to calculate each root and simplify as necessary.
- Check your answers by plugging them back into the original equation and verifying that they satisfy the equation.
For other types of equations, such as exponential or trigonometric equations, the steps will vary. In general, you will need to use algebraic techniques to isolate the variable and simplify the equation as much as possible, and then use specific techniques for solving that type of equation.