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Simplifying -12y * -12y + 360y = 0 Reorder the terms for easier multiplication: -12 * -12y * y + 360y = 0 Multiply -12 * -12 144y * y + 360y = 0 Multiply y * y 144y2 + 360y = 0 Reorder the terms: 360y + 144y2 = 0 Solving 360y + 144y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '72y'. 72y(5 + 2y) = 0 Ignore the factor 72.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 '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5Solution
y = {0, -2.5}
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