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Simplifying x2 + 11x + 121 = x + 96 Reorder the terms: 121 + 11x + x2 = x + 96 Reorder the terms: 121 + 11x + x2 = 96 + x Solving 121 + 11x + x2 = 96 + x Solving for variable 'x'. Reorder the terms: 121 + -96 + 11x + -1x + x2 = 96 + x + -96 + -1x Combine like terms: 121 + -96 = 25 25 + 11x + -1x + x2 = 96 + x + -96 + -1x Combine like terms: 11x + -1x = 10x 25 + 10x + x2 = 96 + x + -96 + -1x Reorder the terms: 25 + 10x + x2 = 96 + -96 + x + -1x Combine like terms: 96 + -96 = 0 25 + 10x + x2 = 0 + x + -1x 25 + 10x + x2 = x + -1x Combine like terms: x + -1x = 0 25 + 10x + x2 = 0 Factor a trinomial. (5 + x)(5 + x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-5, -5}
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