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Simplifying y2 + 14y = 0 Reorder the terms: 14y + y2 = 0 Solving 14y + y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(14 + 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 '(14 + y)' equal to zero and attempt to solve: Simplifying 14 + y = 0 Solving 14 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + y = 0 + -14 y = 0 + -14 Combine like terms: 0 + -14 = -14 y = -14 Simplifying y = -14Solution
y = {0, -14}
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