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Simplifying 2y2 + -14y = 120 Reorder the terms: -14y + 2y2 = 120 Solving -14y + 2y2 = 120 Solving for variable 'y'. Reorder the terms: -120 + -14y + 2y2 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + -14y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-60 + -7y + y2) = 0 Factor a trinomial. 2((-5 + -1y)(12 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12Solution
y = {-5, 12}
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