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Simplifying x2 + -18x + 23 = -6x + -4 Reorder the terms: 23 + -18x + x2 = -6x + -4 Reorder the terms: 23 + -18x + x2 = -4 + -6x Solving 23 + -18x + x2 = -4 + -6x Solving for variable 'x'. Reorder the terms: 23 + 4 + -18x + 6x + x2 = -4 + -6x + 4 + 6x Combine like terms: 23 + 4 = 27 27 + -18x + 6x + x2 = -4 + -6x + 4 + 6x Combine like terms: -18x + 6x = -12x 27 + -12x + x2 = -4 + -6x + 4 + 6x Reorder the terms: 27 + -12x + x2 = -4 + 4 + -6x + 6x Combine like terms: -4 + 4 = 0 27 + -12x + x2 = 0 + -6x + 6x 27 + -12x + x2 = -6x + 6x Combine like terms: -6x + 6x = 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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