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Simplifying (x + -4)(x + -8) = -4 Reorder the terms: (-4 + x)(x + -8) = -4 Reorder the terms: (-4 + x)(-8 + x) = -4 Multiply (-4 + x) * (-8 + x) (-4(-8 + x) + x(-8 + x)) = -4 ((-8 * -4 + x * -4) + x(-8 + x)) = -4 ((32 + -4x) + x(-8 + x)) = -4 (32 + -4x + (-8 * x + x * x)) = -4 (32 + -4x + (-8x + x2)) = -4 Combine like terms: -4x + -8x = -12x (32 + -12x + x2) = -4 Solving 32 + -12x + x2 = -4 Solving for variable 'x'. Reorder the terms: 32 + 4 + -12x + x2 = -4 + 4 Combine like terms: 32 + 4 = 36 36 + -12x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 36 + -12x + x2 = 0 Factor a trinomial. (6 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {6, 6}
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