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Simplifying x2 + 5 = -8x + -11 Reorder the terms: 5 + x2 = -8x + -11 Reorder the terms: 5 + x2 = -11 + -8x Solving 5 + x2 = -11 + -8x Solving for variable 'x'. Reorder the terms: 5 + 11 + 8x + x2 = -11 + -8x + 11 + 8x Combine like terms: 5 + 11 = 16 16 + 8x + x2 = -11 + -8x + 11 + 8x Reorder the terms: 16 + 8x + x2 = -11 + 11 + -8x + 8x Combine like terms: -11 + 11 = 0 16 + 8x + x2 = 0 + -8x + 8x 16 + 8x + x2 = -8x + 8x Combine like terms: -8x + 8x = 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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