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Simplifying y2 + -16y + 64 = 81 Reorder the terms: 64 + -16y + y2 = 81 Solving 64 + -16y + y2 = 81 Solving for variable 'y'. Reorder the terms: 64 + -81 + -16y + y2 = 81 + -81 Combine like terms: 64 + -81 = -17 -17 + -16y + y2 = 81 + -81 Combine like terms: 81 + -81 = 0 -17 + -16y + y2 = 0 Factor a trinomial. (-1 + -1y)(17 + -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 '(17 + -1y)' equal to zero and attempt to solve: Simplifying 17 + -1y = 0 Solving 17 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1y = 0 + -17 -1y = 0 + -17 Combine like terms: 0 + -17 = -17 -1y = -17 Divide each side by '-1'. y = 17 Simplifying y = 17Solution
y = {-1, 17}
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