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Simplifying x2 + -4x + 24 = 8x + -3 Reorder the terms: 24 + -4x + x2 = 8x + -3 Reorder the terms: 24 + -4x + x2 = -3 + 8x Solving 24 + -4x + x2 = -3 + 8x Solving for variable 'x'. Reorder the terms: 24 + 3 + -4x + -8x + x2 = -3 + 8x + 3 + -8x Combine like terms: 24 + 3 = 27 27 + -4x + -8x + x2 = -3 + 8x + 3 + -8x Combine like terms: -4x + -8x = -12x 27 + -12x + x2 = -3 + 8x + 3 + -8x Reorder the terms: 27 + -12x + x2 = -3 + 3 + 8x + -8x Combine like terms: -3 + 3 = 0 27 + -12x + x2 = 0 + 8x + -8x 27 + -12x + x2 = 8x + -8x Combine like terms: 8x + -8x = 0 27 + -12x + x2 = 0 Factor a trinomial. (3 + -1x)(9 + -1x) = 0Subproblem 1
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 = 3Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {3, 9}
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