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Simplifying y * y = 8y + -15 Multiply y * y y2 = 8y + -15 Reorder the terms: y2 = -15 + 8y Solving y2 = -15 + 8y Solving for variable 'y'. Reorder the terms: 15 + -8y + y2 = -15 + 8y + 15 + -8y Reorder the terms: 15 + -8y + y2 = -15 + 15 + 8y + -8y Combine like terms: -15 + 15 = 0 15 + -8y + y2 = 0 + 8y + -8y 15 + -8y + y2 = 8y + -8y Combine like terms: 8y + -8y = 0 15 + -8y + y2 = 0 Factor a trinomial. (3 + -1y)(5 + -1y) = 0Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {3, 5}
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