# Solving equations by factoring

Here are the steps for solving equations by factoring:
• If necessary, put both sides of the equation in standard form.
• Subtract one side completely, moving it to the other side, so that one side of the equation is zero (0).
• Factor the other side of the equation.
• 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 with ‘or’ between them (or list the solutions in a solution set if you prefer).
These techniques will work whenever all of the solutions are rational numbers (assuming that the factoring step can be done).
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This web page was written in 2011 by Toby Bartels, last edited on 2011 October 14. Toby reserves no legal rights to it.

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