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Simplifying -1X2 + 11X + -24 = 0 Reorder the terms: -24 + 11X + -1X2 = 0 Solving -24 + 11X + -1X2 = 0 Solving for variable 'X'. Factor a trinomial. (-8 + X)(3 + -1X) = 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 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 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 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Solution
X = {8, 3}
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