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Simplifying (y + -45)(-7y + -9) = 0 Reorder the terms: (-45 + y)(-7y + -9) = 0 Reorder the terms: (-45 + y)(-9 + -7y) = 0 Multiply (-45 + y) * (-9 + -7y) (-45(-9 + -7y) + y(-9 + -7y)) = 0 ((-9 * -45 + -7y * -45) + y(-9 + -7y)) = 0 ((405 + 315y) + y(-9 + -7y)) = 0 (405 + 315y + (-9 * y + -7y * y)) = 0 (405 + 315y + (-9y + -7y2)) = 0 Combine like terms: 315y + -9y = 306y (405 + 306y + -7y2) = 0 Solving 405 + 306y + -7y2 = 0 Solving for variable 'y'. Factor a trinomial. (45 + -1y)(9 + 7y) = 0Subproblem 1
Set the factor '(45 + -1y)' equal to zero and attempt to solve: Simplifying 45 + -1y = 0 Solving 45 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1y = 0 + -45 -1y = 0 + -45 Combine like terms: 0 + -45 = -45 -1y = -45 Divide each side by '-1'. y = 45 Simplifying y = 45Subproblem 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 = {45, -1.285714286}
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