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Simplifying x2 + 8x + 29 = 13 Reorder the terms: 29 + 8x + x2 = 13 Solving 29 + 8x + x2 = 13 Solving for variable 'x'. Reorder the terms: 29 + -13 + 8x + x2 = 13 + -13 Combine like terms: 29 + -13 = 16 16 + 8x + x2 = 13 + -13 Combine like terms: 13 + -13 = 0 16 + 8x + x2 = 0 Factor a trinomial. (4 + x)(4 + x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-4, -4}
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