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Simplifying (y + 12)(2y + -9) = 0 Reorder the terms: (12 + y)(2y + -9) = 0 Reorder the terms: (12 + y)(-9 + 2y) = 0 Multiply (12 + y) * (-9 + 2y) (12(-9 + 2y) + y(-9 + 2y)) = 0 ((-9 * 12 + 2y * 12) + y(-9 + 2y)) = 0 ((-108 + 24y) + y(-9 + 2y)) = 0 (-108 + 24y + (-9 * y + 2y * y)) = 0 (-108 + 24y + (-9y + 2y2)) = 0 Combine like terms: 24y + -9y = 15y (-108 + 15y + 2y2) = 0 Solving -108 + 15y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-12 + -1y)(9 + -2y) = 0Subproblem 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 '(9 + -2y)' equal to zero and attempt to solve: Simplifying 9 + -2y = 0 Solving 9 + -2y = 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 + -2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = 0 + -9 -2y = 0 + -9 Combine like terms: 0 + -9 = -9 -2y = -9 Divide each side by '-2'. y = 4.5 Simplifying y = 4.5Solution
y = {-12, 4.5}
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