College Algebra / Alg 200 · Atom · ~20 seconds
Keeping Every Factor
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State
An equation with the variable on both sides of a product is solved by factoring, never by dividing the variable away; every factor holds a solution.
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x² = 5x moves to x² − 5x = 0 and factors: x(x − 5) = 0, so x = 0 or x = 5. Both check.
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