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Simplifying 8x + 56 = x2 + 18x + 81 Reorder the terms: 56 + 8x = x2 + 18x + 81 Reorder the terms: 56 + 8x = 81 + 18x + x2 Solving 56 + 8x = 81 + 18x + x2 Solving for variable 'x'. Reorder the terms: 56 + -81 + 8x + -18x + -1x2 = 81 + 18x + x2 + -81 + -18x + -1x2 Combine like terms: 56 + -81 = -25 -25 + 8x + -18x + -1x2 = 81 + 18x + x2 + -81 + -18x + -1x2 Combine like terms: 8x + -18x = -10x -25 + -10x + -1x2 = 81 + 18x + x2 + -81 + -18x + -1x2 Reorder the terms: -25 + -10x + -1x2 = 81 + -81 + 18x + -18x + x2 + -1x2 Combine like terms: 81 + -81 = 0 -25 + -10x + -1x2 = 0 + 18x + -18x + x2 + -1x2 -25 + -10x + -1x2 = 18x + -18x + x2 + -1x2 Combine like terms: 18x + -18x = 0 -25 + -10x + -1x2 = 0 + x2 + -1x2 -25 + -10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -25 + -10x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(25 + 10x + x2) = 0 Factor a trinomial. -1((5 + x)(5 + x)) = 0 Ignore the factor -1.Subproblem 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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