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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. (-1 + -1y)(9 + -1y) = 0Subproblem 1
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 = -1Subproblem 2
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 = 9Solution
y = {-1, 9}
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