QuestionAugust 24, 2025

9. Solve the following equation by factoring. 4y^2=12y

9. Solve the following equation by factoring. 4y^2=12y
9. Solve the following equation by factoring. 4y^2=12y

Solution
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Answer

y = 0, 3 Explanation 1. Move all terms to one side Rewrite the equation as 4y^2 - 12y = 0. 2. Factor out the greatest common factor Factor out 4y: 4y(y - 3) = 0. 3. Apply the zero product property Set each factor equal to zero: 4y = 0 or y - 3 = 0. 4. Solve each equation For 4y = 0, divide by 4: y = 0. For y - 3 = 0, add 3: y = 3.

Explanation

1. Move all terms to one side<br /> Rewrite the equation as $4y^2 - 12y = 0$.<br />2. Factor out the greatest common factor<br /> Factor out $4y$: $4y(y - 3) = 0$.<br />3. Apply the zero product property<br /> Set each factor equal to zero: $4y = 0$ or $y - 3 = 0$.<br />4. Solve each equation<br /> For $4y = 0$, divide by 4: $y = 0$. For $y - 3 = 0$, add 3: $y = 3$.
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