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Simplifying -2y2 + 7y + 72 = 0 Reorder the terms: 72 + 7y + -2y2 = 0 Solving 72 + 7y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + -1y)(9 + 2y) = 0Subproblem 1
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Subproblem 2
Set the factor '(9 + 2y)' equal to zero and attempt to solve: Simplifying 9 + 2y = 0 Solving 9 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = 0 + -9 2y = 0 + -9 Combine like terms: 0 + -9 = -9 2y = -9 Divide each side by '2'. y = -4.5 Simplifying y = -4.5Solution
y = {8, -4.5}
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