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Simplifying y(2 + -8)(2y + 6) = 0 Combine like terms: 2 + -8 = -6 y(-6)(2y + 6) = 0 Reorder the terms: y * -6(6 + 2y) = 0 Reorder the terms for easier multiplication: -6y(6 + 2y) = 0 (6 * -6y + 2y * -6y) = 0 (-36y + -12y2) = 0 Solving -36y + -12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-12y'. -12y(3 + y) = 0 Ignore the factor -12.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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