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Simplifying (9 + -4y)(3 + -2y) = 0 Multiply (9 + -4y) * (3 + -2y) (9(3 + -2y) + -4y * (3 + -2y)) = 0 ((3 * 9 + -2y * 9) + -4y * (3 + -2y)) = 0 ((27 + -18y) + -4y * (3 + -2y)) = 0 (27 + -18y + (3 * -4y + -2y * -4y)) = 0 (27 + -18y + (-12y + 8y2)) = 0 Combine like terms: -18y + -12y = -30y (27 + -30y + 8y2) = 0 Solving 27 + -30y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -2y)(9 + -4y) = 0Subproblem 1
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Subproblem 2
Set the factor '(9 + -4y)' equal to zero and attempt to solve: Simplifying 9 + -4y = 0 Solving 9 + -4y = 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 + -4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 0 + -9 -4y = 0 + -9 Combine like terms: 0 + -9 = -9 -4y = -9 Divide each side by '-4'. y = 2.25 Simplifying y = 2.25Solution
y = {1.5, 2.25}
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