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Simplifying 2y(y + 13) = 136 Reorder the terms: 2y(13 + y) = 136 (13 * 2y + y * 2y) = 136 (26y + 2y2) = 136 Solving 26y + 2y2 = 136 Solving for variable 'y'. Reorder the terms: -136 + 26y + 2y2 = 136 + -136 Combine like terms: 136 + -136 = 0 -136 + 26y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-68 + 13y + y2) = 0 Factor a trinomial. 2((-17 + -1y)(4 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-17 + -1y)' equal to zero and attempt to solve: Simplifying -17 + -1y = 0 Solving -17 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1y = 0 + 17 -1y = 0 + 17 Combine like terms: 0 + 17 = 17 -1y = 17 Divide each side by '-1'. y = -17 Simplifying y = -17Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-17, 4}
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