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