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Simplifying X2 = -24 + -11X Solving X2 = -24 + -11X Solving for variable 'X'. Reorder the terms: 24 + 11X + X2 = -24 + -11X + 24 + 11X Reorder the terms: 24 + 11X + X2 = -24 + 24 + -11X + 11X Combine like terms: -24 + 24 = 0 24 + 11X + X2 = 0 + -11X + 11X 24 + 11X + X2 = -11X + 11X Combine like terms: -11X + 11X = 0 24 + 11X + X2 = 0 Factor a trinomial. (8 + X)(3 + X) = 0Subproblem 1
Set the factor '(8 + X)' equal to zero and attempt to solve: Simplifying 8 + X = 0 Solving 8 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + X = 0 + -8 X = 0 + -8 Combine like terms: 0 + -8 = -8 X = -8 Simplifying X = -8Subproblem 2
Set the factor '(3 + X)' equal to zero and attempt to solve: Simplifying 3 + X = 0 Solving 3 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X = 0 + -3 X = 0 + -3 Combine like terms: 0 + -3 = -3 X = -3 Simplifying X = -3Solution
X = {-8, -3}
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