# Solving equations by factoring

Here are the steps for solving equations by factoring:
• Subtract the right-hand side of the equation away, moving it to the left-hand side, so that the right-hand side of the equation is zero.
• Simplify the left-hand side of the equation and factor it.
• Split the equation up into several equations (with ‘or’ between them), one equation for each factor, each factor set equal to zero.
• Solve these equations; throw out any which have no solution.
• If any solutions are repeated, count them only once.
• List all possible solutions (as a list of statements with ‘or’ between them or in a solution set if you prefer).
If you can figure out how to do the factoring step, then this method will solve any polynomial equation in one variable, as long as all of the solutions are rational numbers; and it may work at other times as well.
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