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Simplifying 3y(2y + -4) + -6y(4y + 4) = 0 Reorder the terms: 3y(-4 + 2y) + -6y(4y + 4) = 0 (-4 * 3y + 2y * 3y) + -6y(4y + 4) = 0 (-12y + 6y2) + -6y(4y + 4) = 0 Reorder the terms: -12y + 6y2 + -6y(4 + 4y) = 0 -12y + 6y2 + (4 * -6y + 4y * -6y) = 0 -12y + 6y2 + (-24y + -24y2) = 0 Reorder the terms: -12y + -24y + 6y2 + -24y2 = 0 Combine like terms: -12y + -24y = -36y -36y + 6y2 + -24y2 = 0 Combine like terms: 6y2 + -24y2 = -18y2 -36y + -18y2 = 0 Solving -36y + -18y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-18y'. -18y(2 + y) = 0 Ignore the factor -18.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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