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Simplifying (y + -2)(9y + -7) = 0 Reorder the terms: (-2 + y)(9y + -7) = 0 Reorder the terms: (-2 + y)(-7 + 9y) = 0 Multiply (-2 + y) * (-7 + 9y) (-2(-7 + 9y) + y(-7 + 9y)) = 0 ((-7 * -2 + 9y * -2) + y(-7 + 9y)) = 0 ((14 + -18y) + y(-7 + 9y)) = 0 (14 + -18y + (-7 * y + 9y * y)) = 0 (14 + -18y + (-7y + 9y2)) = 0 Combine like terms: -18y + -7y = -25y (14 + -25y + 9y2) = 0 Solving 14 + -25y + 9y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + -9y)(2 + -1y) = 0Subproblem 1
Set the factor '(7 + -9y)' equal to zero and attempt to solve: Simplifying 7 + -9y = 0 Solving 7 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9y = 0 + -7 -9y = 0 + -7 Combine like terms: 0 + -7 = -7 -9y = -7 Divide each side by '-9'. y = 0.7777777778 Simplifying y = 0.7777777778Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {0.7777777778, 2}
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