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Simplifying (x + 4)(x + -12) = 0 Reorder the terms: (4 + x)(x + -12) = 0 Reorder the terms: (4 + x)(-12 + x) = 0 Multiply (4 + x) * (-12 + x) (4(-12 + x) + x(-12 + x)) = 0 ((-12 * 4 + x * 4) + x(-12 + x)) = 0 ((-48 + 4x) + x(-12 + x)) = 0 (-48 + 4x + (-12 * x + x * x)) = 0 (-48 + 4x + (-12x + x2)) = 0 Combine like terms: 4x + -12x = -8x (-48 + -8x + x2) = 0 Solving -48 + -8x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(12 + -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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-4, 12}
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