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Simplifying (x + 8)(x + 8) + -81 = 0 Reorder the terms: (8 + x)(x + 8) + -81 = 0 Reorder the terms: (8 + x)(8 + x) + -81 = 0 Multiply (8 + x) * (8 + x) (8(8 + x) + x(8 + x)) + -81 = 0 ((8 * 8 + x * 8) + x(8 + x)) + -81 = 0 ((64 + 8x) + x(8 + x)) + -81 = 0 (64 + 8x + (8 * x + x * x)) + -81 = 0 (64 + 8x + (8x + x2)) + -81 = 0 Combine like terms: 8x + 8x = 16x (64 + 16x + x2) + -81 = 0 Reorder the terms: 64 + -81 + 16x + x2 = 0 Combine like terms: 64 + -81 = -17 -17 + 16x + x2 = 0 Solving -17 + 16x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -1x)(1 + -1x) = 0Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-17, 1}
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