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Simplifying y2 + 57y = 0 Reorder the terms: 57y + y2 = 0 Solving 57y + y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(57 + y) = 0Subproblem 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 '(57 + y)' equal to zero and attempt to solve: Simplifying 57 + y = 0 Solving 57 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + y = 0 + -57 Combine like terms: 57 + -57 = 0 0 + y = 0 + -57 y = 0 + -57 Combine like terms: 0 + -57 = -57 y = -57 Simplifying y = -57Solution
y = {0, -57}
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