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Simplifying 0 = -5x + -1x2 + 24 Reorder the terms: 0 = 24 + -5x + -1x2 Solving 0 = 24 + -5x + -1x2 Solving for variable 'x'. Combine like terms: 0 + -24 = -24 -24 + 5x + x2 = 24 + -5x + -1x2 + -24 + 5x + x2 Reorder the terms: -24 + 5x + x2 = 24 + -24 + -5x + 5x + -1x2 + x2 Combine like terms: 24 + -24 = 0 -24 + 5x + x2 = 0 + -5x + 5x + -1x2 + x2 -24 + 5x + x2 = -5x + 5x + -1x2 + x2 Combine like terms: -5x + 5x = 0 -24 + 5x + x2 = 0 + -1x2 + x2 -24 + 5x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -24 + 5x + x2 = 0 Factor a trinomial. (-8 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 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 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. 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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