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Simplifying 5y2 = -65y Solving 5y2 = -65y Solving for variable 'y'. Reorder the terms: 65y + 5y2 = -65y + 65y Combine like terms: -65y + 65y = 0 65y + 5y2 = 0 Factor out the Greatest Common Factor (GCF), '5y'. 5y(13 + 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 '(13 + y)' equal to zero and attempt to solve: Simplifying 13 + y = 0 Solving 13 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + y = 0 + -13 y = 0 + -13 Combine like terms: 0 + -13 = -13 y = -13 Simplifying y = -13Solution
y = {0, -13}
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