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Simplifying (8y + -9)(8y + -9) = 0 Reorder the terms: (-9 + 8y)(8y + -9) = 0 Reorder the terms: (-9 + 8y)(-9 + 8y) = 0 Multiply (-9 + 8y) * (-9 + 8y) (-9(-9 + 8y) + 8y * (-9 + 8y)) = 0 ((-9 * -9 + 8y * -9) + 8y * (-9 + 8y)) = 0 ((81 + -72y) + 8y * (-9 + 8y)) = 0 (81 + -72y + (-9 * 8y + 8y * 8y)) = 0 (81 + -72y + (-72y + 64y2)) = 0 Combine like terms: -72y + -72y = -144y (81 + -144y + 64y2) = 0 Solving 81 + -144y + 64y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + -8y)(9 + -8y) = 0Subproblem 1
Set the factor '(9 + -8y)' equal to zero and attempt to solve: Simplifying 9 + -8y = 0 Solving 9 + -8y = 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 + -8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8y = 0 + -9 -8y = 0 + -9 Combine like terms: 0 + -9 = -9 -8y = -9 Divide each side by '-8'. y = 1.125 Simplifying y = 1.125Subproblem 2
Set the factor '(9 + -8y)' equal to zero and attempt to solve: Simplifying 9 + -8y = 0 Solving 9 + -8y = 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 + -8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8y = 0 + -9 -8y = 0 + -9 Combine like terms: 0 + -9 = -9 -8y = -9 Divide each side by '-8'. y = 1.125 Simplifying y = 1.125Solution
y = {1.125, 1.125}
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