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Simplifying x + 8 + x2 + -3x + 3x + -2 + x + 2 = 43 Reorder the terms: 8 + -2 + 2 + x + -3x + 3x + x + x2 = 43 Combine like terms: 8 + -2 = 6 6 + 2 + x + -3x + 3x + x + x2 = 43 Combine like terms: 6 + 2 = 8 8 + x + -3x + 3x + x + x2 = 43 Combine like terms: x + -3x = -2x 8 + -2x + 3x + x + x2 = 43 Combine like terms: -2x + 3x = 1x 8 + 1x + x + x2 = 43 Combine like terms: 1x + x = 2x 8 + 2x + x2 = 43 Solving 8 + 2x + x2 = 43 Solving for variable 'x'. Reorder the terms: 8 + -43 + 2x + x2 = 43 + -43 Combine like terms: 8 + -43 = -35 -35 + 2x + x2 = 43 + -43 Combine like terms: 43 + -43 = 0 -35 + 2x + x2 = 0 Factor a trinomial. (-7 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-7, 5}
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