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Simplifying (9y + -4)(2y + -1) = 0 Reorder the terms: (-4 + 9y)(2y + -1) = 0 Reorder the terms: (-4 + 9y)(-1 + 2y) = 0 Multiply (-4 + 9y) * (-1 + 2y) (-4(-1 + 2y) + 9y * (-1 + 2y)) = 0 ((-1 * -4 + 2y * -4) + 9y * (-1 + 2y)) = 0 ((4 + -8y) + 9y * (-1 + 2y)) = 0 (4 + -8y + (-1 * 9y + 2y * 9y)) = 0 (4 + -8y + (-9y + 18y2)) = 0 Combine like terms: -8y + -9y = -17y (4 + -17y + 18y2) = 0 Solving 4 + -17y + 18y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + -9y)(1 + -2y) = 0Subproblem 1
Set the factor '(4 + -9y)' equal to zero and attempt to solve: Simplifying 4 + -9y = 0 Solving 4 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9y = 0 + -4 -9y = 0 + -4 Combine like terms: 0 + -4 = -4 -9y = -4 Divide each side by '-9'. y = 0.4444444444 Simplifying y = 0.4444444444Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {0.4444444444, 0.5}
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