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Simplifying (x + -1)(x + -1) + -9 = 0 Reorder the terms: (-1 + x)(x + -1) + -9 = 0 Reorder the terms: (-1 + x)(-1 + x) + -9 = 0 Multiply (-1 + x) * (-1 + x) (-1(-1 + x) + x(-1 + x)) + -9 = 0 ((-1 * -1 + x * -1) + x(-1 + x)) + -9 = 0 ((1 + -1x) + x(-1 + x)) + -9 = 0 (1 + -1x + (-1 * x + x * x)) + -9 = 0 (1 + -1x + (-1x + x2)) + -9 = 0 Combine like terms: -1x + -1x = -2x (1 + -2x + x2) + -9 = 0 Reorder the terms: 1 + -9 + -2x + x2 = 0 Combine like terms: 1 + -9 = -8 -8 + -2x + x2 = 0 Solving -8 + -2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-2, 4}
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