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Simplifying y2 + 13y = -14y Reorder the terms: 13y + y2 = -14y Solving 13y + y2 = -14y Solving for variable 'y'. Reorder the terms: 13y + 14y + y2 = -14y + 14y Combine like terms: 13y + 14y = 27y 27y + y2 = -14y + 14y Combine like terms: -14y + 14y = 0 27y + y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(27 + 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 '(27 + y)' equal to zero and attempt to solve: Simplifying 27 + y = 0 Solving 27 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + y = 0 + -27 y = 0 + -27 Combine like terms: 0 + -27 = -27 y = -27 Simplifying y = -27Solution
y = {0, -27}
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