# Solving equations by factoring

Here are the steps for solving equations by factoring:
• Subtract one side of the equation away, moving it to the other side, so that one side of the equation is zero (0).
• Factor the other side of the equation. (You may have to expand it first.)
• 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 you can figure out how to do the factoring step).
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