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Simplifying 3y(2y + 6) = 0 Reorder the terms: 3y(6 + 2y) = 0 (6 * 3y + 2y * 3y) = 0 (18y + 6y2) = 0 Solving 18y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6y'. 6y(3 + y) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {0, -3}
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