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Simplifying x2 + -6x + 13 = 29 Reorder the terms: 13 + -6x + x2 = 29 Solving 13 + -6x + x2 = 29 Solving for variable 'x'. Reorder the terms: 13 + -29 + -6x + x2 = 29 + -29 Combine like terms: 13 + -29 = -16 -16 + -6x + x2 = 29 + -29 Combine like terms: 29 + -29 = 0 -16 + -6x + x2 = 0 Factor a trinomial. (-2 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-2, 8}
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