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Simplifying x2 + 8x + -27 = -2x + -3 Reorder the terms: -27 + 8x + x2 = -2x + -3 Reorder the terms: -27 + 8x + x2 = -3 + -2x Solving -27 + 8x + x2 = -3 + -2x Solving for variable 'x'. Reorder the terms: -27 + 3 + 8x + 2x + x2 = -3 + -2x + 3 + 2x Combine like terms: -27 + 3 = -24 -24 + 8x + 2x + x2 = -3 + -2x + 3 + 2x Combine like terms: 8x + 2x = 10x -24 + 10x + x2 = -3 + -2x + 3 + 2x Reorder the terms: -24 + 10x + x2 = -3 + 3 + -2x + 2x Combine like terms: -3 + 3 = 0 -24 + 10x + x2 = 0 + -2x + 2x -24 + 10x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 10x + x2 = 0 Factor a trinomial. (-12 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-12, 2}
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