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Simplifying -2y(-2y + -4) + -3y(4y + 5) = 0 Reorder the terms: -2y(-4 + -2y) + -3y(4y + 5) = 0 (-4 * -2y + -2y * -2y) + -3y(4y + 5) = 0 (8y + 4y2) + -3y(4y + 5) = 0 Reorder the terms: 8y + 4y2 + -3y(5 + 4y) = 0 8y + 4y2 + (5 * -3y + 4y * -3y) = 0 8y + 4y2 + (-15y + -12y2) = 0 Reorder the terms: 8y + -15y + 4y2 + -12y2 = 0 Combine like terms: 8y + -15y = -7y -7y + 4y2 + -12y2 = 0 Combine like terms: 4y2 + -12y2 = -8y2 -7y + -8y2 = 0 Solving -7y + -8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1y'. -1y(7 + 8y) = 0 Ignore the factor -1.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 '(7 + 8y)' equal to zero and attempt to solve: Simplifying 7 + 8y = 0 Solving 7 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8y = 0 + -7 8y = 0 + -7 Combine like terms: 0 + -7 = -7 8y = -7 Divide each side by '8'. y = -0.875 Simplifying y = -0.875Solution
y = {0, -0.875}
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