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Simplifying x2 + 10x + 7 = 2x + -9 Reorder the terms: 7 + 10x + x2 = 2x + -9 Reorder the terms: 7 + 10x + x2 = -9 + 2x Solving 7 + 10x + x2 = -9 + 2x Solving for variable 'x'. Reorder the terms: 7 + 9 + 10x + -2x + x2 = -9 + 2x + 9 + -2x Combine like terms: 7 + 9 = 16 16 + 10x + -2x + x2 = -9 + 2x + 9 + -2x Combine like terms: 10x + -2x = 8x 16 + 8x + x2 = -9 + 2x + 9 + -2x Reorder the terms: 16 + 8x + x2 = -9 + 9 + 2x + -2x Combine like terms: -9 + 9 = 0 16 + 8x + x2 = 0 + 2x + -2x 16 + 8x + x2 = 2x + -2x Combine like terms: 2x + -2x = 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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