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Simplifying 8y = 640 + -2y2 Solving 8y = 640 + -2y2 Solving for variable 'y'. Reorder the terms: -640 + 8y + 2y2 = 640 + -2y2 + -640 + 2y2 Reorder the terms: -640 + 8y + 2y2 = 640 + -640 + -2y2 + 2y2 Combine like terms: 640 + -640 = 0 -640 + 8y + 2y2 = 0 + -2y2 + 2y2 -640 + 8y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -640 + 8y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-320 + 4y + y2) = 0 Factor a trinomial. 2((-20 + -1y)(16 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + -1y)' equal to zero and attempt to solve: Simplifying -20 + -1y = 0 Solving -20 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1y = 0 + 20 -1y = 0 + 20 Combine like terms: 0 + 20 = 20 -1y = 20 Divide each side by '-1'. y = -20 Simplifying y = -20Subproblem 2
Set the factor '(16 + -1y)' equal to zero and attempt to solve: Simplifying 16 + -1y = 0 Solving 16 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1y = 0 + -16 -1y = 0 + -16 Combine like terms: 0 + -16 = -16 -1y = -16 Divide each side by '-1'. y = 16 Simplifying y = 16Solution
y = {-20, 16}
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