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Simplifying 62y + -2y2 = 336 Solving 62y + -2y2 = 336 Solving for variable 'y'. Reorder the terms: -336 + 62y + -2y2 = 336 + -336 Combine like terms: 336 + -336 = 0 -336 + 62y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-168 + 31y + -1y2) = 0 Factor a trinomial. 2((-24 + y)(7 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-24 + y)' equal to zero and attempt to solve: Simplifying -24 + y = 0 Solving -24 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + y = 0 + 24 y = 0 + 24 Combine like terms: 0 + 24 = 24 y = 24 Simplifying y = 24Subproblem 2
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 = 7Solution
y = {24, 7}
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