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Simplifying x2 + 6x + 20 = -8x + -29 Reorder the terms: 20 + 6x + x2 = -8x + -29 Reorder the terms: 20 + 6x + x2 = -29 + -8x Solving 20 + 6x + x2 = -29 + -8x Solving for variable 'x'. Reorder the terms: 20 + 29 + 6x + 8x + x2 = -29 + -8x + 29 + 8x Combine like terms: 20 + 29 = 49 49 + 6x + 8x + x2 = -29 + -8x + 29 + 8x Combine like terms: 6x + 8x = 14x 49 + 14x + x2 = -29 + -8x + 29 + 8x Reorder the terms: 49 + 14x + x2 = -29 + 29 + -8x + 8x Combine like terms: -29 + 29 = 0 49 + 14x + x2 = 0 + -8x + 8x 49 + 14x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 49 + 14x + x2 = 0 Factor a trinomial. (7 + x)(7 + x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {-7, -7}
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