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Simplifying y2 = 16y + -39 Reorder the terms: y2 = -39 + 16y Solving y2 = -39 + 16y Solving for variable 'y'. Reorder the terms: 39 + -16y + y2 = -39 + 16y + 39 + -16y Reorder the terms: 39 + -16y + y2 = -39 + 39 + 16y + -16y Combine like terms: -39 + 39 = 0 39 + -16y + y2 = 0 + 16y + -16y 39 + -16y + y2 = 16y + -16y Combine like terms: 16y + -16y = 0 39 + -16y + y2 = 0 Factor a trinomial. (3 + -1y)(13 + -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 '(13 + -1y)' equal to zero and attempt to solve: Simplifying 13 + -1y = 0 Solving 13 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1y = 0 + -13 -1y = 0 + -13 Combine like terms: 0 + -13 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13Solution
y = {3, 13}
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