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Simplifying (x + 4) + (x + 3) + (2x + -2) + (x2 + -2x) = 29 Reorder the terms: (4 + x) + (x + 3) + (2x + -2) + (x2 + -2x) = 29 Remove parenthesis around (4 + x) 4 + x + (x + 3) + (2x + -2) + (x2 + -2x) = 29 Reorder the terms: 4 + x + (3 + x) + (2x + -2) + (x2 + -2x) = 29 Remove parenthesis around (3 + x) 4 + x + 3 + x + (2x + -2) + (x2 + -2x) = 29 Reorder the terms: 4 + x + 3 + x + (-2 + 2x) + (x2 + -2x) = 29 Remove parenthesis around (-2 + 2x) 4 + x + 3 + x + -2 + 2x + (x2 + -2x) = 29 Reorder the terms: 4 + x + 3 + x + -2 + 2x + (-2x + x2) = 29 Remove parenthesis around (-2x + x2) 4 + x + 3 + x + -2 + 2x + -2x + x2 = 29 Reorder the terms: 4 + 3 + -2 + x + x + 2x + -2x + x2 = 29 Combine like terms: 4 + 3 = 7 7 + -2 + x + x + 2x + -2x + x2 = 29 Combine like terms: 7 + -2 = 5 5 + x + x + 2x + -2x + x2 = 29 Combine like terms: x + x = 2x 5 + 2x + 2x + -2x + x2 = 29 Combine like terms: 2x + 2x = 4x 5 + 4x + -2x + x2 = 29 Combine like terms: 4x + -2x = 2x 5 + 2x + x2 = 29 Solving 5 + 2x + x2 = 29 Solving for variable 'x'. Reorder the terms: 5 + -29 + 2x + x2 = 29 + -29 Combine like terms: 5 + -29 = -24 -24 + 2x + x2 = 29 + -29 Combine like terms: 29 + -29 = 0 -24 + 2x + x2 = 0 Factor a trinomial. (-6 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-6, 4}
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