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Simplifying (9y + -5)(7y + -9) = 0 Reorder the terms: (-5 + 9y)(7y + -9) = 0 Reorder the terms: (-5 + 9y)(-9 + 7y) = 0 Multiply (-5 + 9y) * (-9 + 7y) (-5(-9 + 7y) + 9y * (-9 + 7y)) = 0 ((-9 * -5 + 7y * -5) + 9y * (-9 + 7y)) = 0 ((45 + -35y) + 9y * (-9 + 7y)) = 0 (45 + -35y + (-9 * 9y + 7y * 9y)) = 0 (45 + -35y + (-81y + 63y2)) = 0 Combine like terms: -35y + -81y = -116y (45 + -116y + 63y2) = 0 Solving 45 + -116y + 63y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -9y)(9 + -7y) = 0Subproblem 1
Set the factor '(5 + -9y)' equal to zero and attempt to solve: Simplifying 5 + -9y = 0 Solving 5 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9y = 0 + -5 -9y = 0 + -5 Combine like terms: 0 + -5 = -5 -9y = -5 Divide each side by '-9'. y = 0.5555555556 Simplifying y = 0.5555555556Subproblem 2
Set the factor '(9 + -7y)' equal to zero and attempt to solve: Simplifying 9 + -7y = 0 Solving 9 + -7y = 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 + -7y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7y = 0 + -9 -7y = 0 + -9 Combine like terms: 0 + -9 = -9 -7y = -9 Divide each side by '-7'. y = 1.285714286 Simplifying y = 1.285714286Solution
y = {0.5555555556, 1.285714286}
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