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Simplifying y(12y + 24) = 1188 Reorder the terms: y(24 + 12y) = 1188 (24 * y + 12y * y) = 1188 (24y + 12y2) = 1188 Solving 24y + 12y2 = 1188 Solving for variable 'y'. Reorder the terms: -1188 + 24y + 12y2 = 1188 + -1188 Combine like terms: 1188 + -1188 = 0 -1188 + 24y + 12y2 = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-99 + 2y + y2) = 0 Factor a trinomial. 12((-11 + -1y)(9 + -1y)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-11 + -1y)' equal to zero and attempt to solve: Simplifying -11 + -1y = 0 Solving -11 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1y = 0 + 11 -1y = 0 + 11 Combine like terms: 0 + 11 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11Subproblem 2
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {-11, 9}
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