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Simplifying (x + 1)(x + 1) + -81 = 0 Reorder the terms: (1 + x)(x + 1) + -81 = 0 Reorder the terms: (1 + x)(1 + x) + -81 = 0 Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x)) + -81 = 0 ((1 * 1 + x * 1) + x(1 + x)) + -81 = 0 ((1 + 1x) + x(1 + x)) + -81 = 0 (1 + 1x + (1 * x + x * x)) + -81 = 0 (1 + 1x + (1x + x2)) + -81 = 0 Combine like terms: 1x + 1x = 2x (1 + 2x + x2) + -81 = 0 Reorder the terms: 1 + -81 + 2x + x2 = 0 Combine like terms: 1 + -81 = -80 -80 + 2x + x2 = 0 Solving -80 + 2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-10, 8}
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