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Simplifying 4y2 = -12y Solving 4y2 = -12y Solving for variable 'y'. Reorder the terms: 12y + 4y2 = -12y + 12y Combine like terms: -12y + 12y = 0 12y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(3 + y) = 0 Ignore the factor 4.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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