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Simplifying 2y2 = -2y + 84 Reorder the terms: 2y2 = 84 + -2y Solving 2y2 = 84 + -2y Solving for variable 'y'. Reorder the terms: -84 + 2y + 2y2 = 84 + -2y + -84 + 2y Reorder the terms: -84 + 2y + 2y2 = 84 + -84 + -2y + 2y Combine like terms: 84 + -84 = 0 -84 + 2y + 2y2 = 0 + -2y + 2y -84 + 2y + 2y2 = -2y + 2y Combine like terms: -2y + 2y = 0 -84 + 2y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-42 + y + y2) = 0 Factor a trinomial. 2((-7 + -1y)(6 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {-7, 6}
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