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Simplifying x * x = x + -4 + x + -8x + -4 Multiply x * x x2 = x + -4 + x + -8x + -4 Reorder the terms: x2 = -4 + -4 + x + x + -8x Combine like terms: -4 + -4 = -8 x2 = -8 + x + x + -8x Combine like terms: x + x = 2x x2 = -8 + 2x + -8x Combine like terms: 2x + -8x = -6x x2 = -8 + -6x Solving x2 = -8 + -6x Solving for variable 'x'. Reorder the terms: 8 + 6x + x2 = -8 + -6x + 8 + 6x Reorder the terms: 8 + 6x + x2 = -8 + 8 + -6x + 6x Combine like terms: -8 + 8 = 0 8 + 6x + x2 = 0 + -6x + 6x 8 + 6x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 8 + 6x + x2 = 0 Factor a trinomial. (4 + x)(2 + x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 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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