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Simplifying x2 + 2x + 1 = 81 Reorder the terms: 1 + 2x + x2 = 81 Solving 1 + 2x + x2 = 81 Solving for variable 'x'. Reorder the terms: 1 + -81 + 2x + x2 = 81 + -81 Combine like terms: 1 + -81 = -80 -80 + 2x + x2 = 81 + -81 Combine like terms: 81 + -81 = 0 -80 + 2x + x2 = 0 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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