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Simplifying 23 = -1y2 + -24y Reorder the terms: 23 = -24y + -1y2 Solving 23 = -24y + -1y2 Solving for variable 'y'. Reorder the terms: 23 + 24y + y2 = -24y + 24y + -1y2 + y2 Combine like terms: -24y + 24y = 0 23 + 24y + y2 = 0 + -1y2 + y2 23 + 24y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 23 + 24y + y2 = 0 Factor a trinomial. (23 + y)(1 + y) = 0Subproblem 1
Set the factor '(23 + y)' equal to zero and attempt to solve: Simplifying 23 + y = 0 Solving 23 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + y = 0 + -23 y = 0 + -23 Combine like terms: 0 + -23 = -23 y = -23 Simplifying y = -23Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-23, -1}
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