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Simplifying -6y(2y + 4) = 0 Reorder the terms: -6y(4 + 2y) = 0 (4 * -6y + 2y * -6y) = 0 (-24y + -12y2) = 0 Solving -24y + -12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-12y'. -12y(2 + 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 '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {0, -2}
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