Learn Before
Solving
Solve by factoring out a constant greatest common factor first.
Step 1 — Write in standard form: Subtract and from both sides to set the equation to zero:
Step 2 — Factor the greatest common factor: The terms share a numerical GCF of :
Step 3 — Factor the trinomial:
Step 4 — Apply the Zero Product Property: Set each factor equal to zero. Notice that there are three factors, but the first factor is a constant. Since , only the variable factors can equal zero:
Step 5 — Solve each equation:
Step 6 — Check: The check is left as an exercise. The solutions are and .
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Intermediate Algebra @ OpenStax
Ch.6 Factoring - Intermediate Algebra @ OpenStax
Algebra
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Learn After
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