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Simplifying 2y2 + 72y = 0 Reorder the terms: 72y + 2y2 = 0 Solving 72y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(36 + y) = 0 Ignore the factor 2.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 '(36 + y)' equal to zero and attempt to solve: Simplifying 36 + y = 0 Solving 36 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + y = 0 + -36 y = 0 + -36 Combine like terms: 0 + -36 = -36 y = -36 Simplifying y = -36Solution
y = {0, -36}
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