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Simplifying 2(y2 + y + -182) = 0 Reorder the terms: 2(-182 + y + y2) = 0 (-182 * 2 + y * 2 + y2 * 2) = 0 (-364 + 2y + 2y2) = 0 Solving -364 + 2y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-182 + y + y2) = 0 Factor a trinomial. 2((-14 + -1y)(13 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -1y)' equal to zero and attempt to solve: Simplifying -14 + -1y = 0 Solving -14 + -1y = 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 + -1y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1y = 0 + 14 -1y = 0 + 14 Combine like terms: 0 + 14 = 14 -1y = 14 Divide each side by '-1'. y = -14 Simplifying y = -14Subproblem 2
Set the factor '(13 + -1y)' equal to zero and attempt to solve: Simplifying 13 + -1y = 0 Solving 13 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1y = 0 + -13 -1y = 0 + -13 Combine like terms: 0 + -13 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13Solution
y = {-14, 13}
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