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Simplifying 24 = y2 + -5y Reorder the terms: 24 = -5y + y2 Solving 24 = -5y + y2 Solving for variable 'y'. Reorder the terms: 24 + 5y + -1y2 = -5y + 5y + y2 + -1y2 Combine like terms: -5y + 5y = 0 24 + 5y + -1y2 = 0 + y2 + -1y2 24 + 5y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 24 + 5y + -1y2 = 0 Factor a trinomial. (8 + -1y)(3 + y) = 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 '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 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 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {8, -3}
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