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Simplifying 288 = 48y + -2y2 Solving 288 = 48y + -2y2 Solving for variable 'y'. Reorder the terms: 288 + -48y + 2y2 = 48y + -48y + -2y2 + 2y2 Combine like terms: 48y + -48y = 0 288 + -48y + 2y2 = 0 + -2y2 + 2y2 288 + -48y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 288 + -48y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(144 + -24y + y2) = 0 Factor a trinomial. 2((12 + -1y)(12 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12Solution
y = {12, 12}
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