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Simplifying 5y2 = -40y Solving 5y2 = -40y Solving for variable 'y'. Reorder the terms: 40y + 5y2 = -40y + 40y Combine like terms: -40y + 40y = 0 40y + 5y2 = 0 Factor out the Greatest Common Factor (GCF), '5y'. 5y(8 + y) = 0 Ignore the factor 5.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 '(8 + y)' equal to zero and attempt to solve: Simplifying 8 + y = 0 Solving 8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y = 0 + -8 y = 0 + -8 Combine like terms: 0 + -8 = -8 y = -8 Simplifying y = -8Solution
y = {0, -8}
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