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Simplifying 2640 = y(y + -16) Reorder the terms: 2640 = y(-16 + y) 2640 = (-16 * y + y * y) 2640 = (-16y + y2) Solving 2640 = -16y + y2 Solving for variable 'y'. Reorder the terms: 2640 + 16y + -1y2 = -16y + 16y + y2 + -1y2 Combine like terms: -16y + 16y = 0 2640 + 16y + -1y2 = 0 + y2 + -1y2 2640 + 16y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 2640 + 16y + -1y2 = 0 Factor a trinomial. (60 + -1y)(44 + y) = 0Subproblem 1
Set the factor '(60 + -1y)' equal to zero and attempt to solve: Simplifying 60 + -1y = 0 Solving 60 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1y = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1y = 0 + -60 -1y = 0 + -60 Combine like terms: 0 + -60 = -60 -1y = -60 Divide each side by '-1'. y = 60 Simplifying y = 60Subproblem 2
Set the factor '(44 + y)' equal to zero and attempt to solve: Simplifying 44 + y = 0 Solving 44 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + y = 0 + -44 Combine like terms: 44 + -44 = 0 0 + y = 0 + -44 y = 0 + -44 Combine like terms: 0 + -44 = -44 y = -44 Simplifying y = -44Solution
y = {60, -44}
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