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Simplifying y2 = 8y + -16 Reorder the terms: y2 = -16 + 8y Solving y2 = -16 + 8y Solving for variable 'y'. Reorder the terms: 16 + -8y + y2 = -16 + 8y + 16 + -8y Reorder the terms: 16 + -8y + y2 = -16 + 16 + 8y + -8y Combine like terms: -16 + 16 = 0 16 + -8y + y2 = 0 + 8y + -8y 16 + -8y + y2 = 8y + -8y Combine like terms: 8y + -8y = 0 16 + -8y + y2 = 0 Factor a trinomial. (4 + -1y)(4 + -1y) = 0Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {4, 4}
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