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Simplifying 9y2 = -36y Solving 9y2 = -36y Solving for variable 'y'. Reorder the terms: 36y + 9y2 = -36y + 36y Combine like terms: -36y + 36y = 0 36y + 9y2 = 0 Factor out the Greatest Common Factor (GCF), '9y'. 9y(4 + y) = 0 Ignore the factor 9.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 '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {0, -4}
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