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Simplifying (x + -6)(x + -2) = -4 Reorder the terms: (-6 + x)(x + -2) = -4 Reorder the terms: (-6 + x)(-2 + x) = -4 Multiply (-6 + x) * (-2 + x) (-6(-2 + x) + x(-2 + x)) = -4 ((-2 * -6 + x * -6) + x(-2 + x)) = -4 ((12 + -6x) + x(-2 + x)) = -4 (12 + -6x + (-2 * x + x * x)) = -4 (12 + -6x + (-2x + x2)) = -4 Combine like terms: -6x + -2x = -8x (12 + -8x + x2) = -4 Solving 12 + -8x + x2 = -4 Solving for variable 'x'. Reorder the terms: 12 + 4 + -8x + x2 = -4 + 4 Combine like terms: 12 + 4 = 16 16 + -8x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 16 + -8x + x2 = 0 Factor a trinomial. (4 + -1x)(4 + -1x) = 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 '(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 = {4, 4}
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