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Simplifying 8 + x + -1[x(x + -1)] = 0 Reorder the terms: 8 + x + -1[x(-1 + x)] = 0 8 + x + -1[(-1 * x + x * x)] = 0 8 + x + -1[(-1x + x2)] = 0 8 + x + [-1x * -1 + x2 * -1] = 0 8 + x + [1x + -1x2] = 0 Combine like terms: x + 1x = 2x 8 + 2x + -1x2 = 0 Solving 8 + 2x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(2 + x) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {4, -2}
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