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Simplifying 0 = y2 + 16y + -36 Reorder the terms: 0 = -36 + 16y + y2 Solving 0 = -36 + 16y + y2 Solving for variable 'y'. Combine like terms: 0 + 36 = 36 36 + -16y + -1y2 = -36 + 16y + y2 + 36 + -16y + -1y2 Reorder the terms: 36 + -16y + -1y2 = -36 + 36 + 16y + -16y + y2 + -1y2 Combine like terms: -36 + 36 = 0 36 + -16y + -1y2 = 0 + 16y + -16y + y2 + -1y2 36 + -16y + -1y2 = 16y + -16y + y2 + -1y2 Combine like terms: 16y + -16y = 0 36 + -16y + -1y2 = 0 + y2 + -1y2 36 + -16y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 36 + -16y + -1y2 = 0 Factor a trinomial. (2 + -1y)(18 + y) = 0Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Subproblem 2
Set the factor '(18 + y)' equal to zero and attempt to solve: Simplifying 18 + y = 0 Solving 18 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + y = 0 + -18 y = 0 + -18 Combine like terms: 0 + -18 = -18 y = -18 Simplifying y = -18Solution
y = {2, -18}
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