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Simplifying x2 + -8x = 5x + -12 Reorder the terms: -8x + x2 = 5x + -12 Reorder the terms: -8x + x2 = -12 + 5x Solving -8x + x2 = -12 + 5x Solving for variable 'x'. Reorder the terms: 12 + -8x + -5x + x2 = -12 + 5x + 12 + -5x Combine like terms: -8x + -5x = -13x 12 + -13x + x2 = -12 + 5x + 12 + -5x Reorder the terms: 12 + -13x + x2 = -12 + 12 + 5x + -5x Combine like terms: -12 + 12 = 0 12 + -13x + x2 = 0 + 5x + -5x 12 + -13x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 12 + -13x + x2 = 0 Factor a trinomial. (1 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
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 = 12Solution
x = {1, 12}
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