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Simplifying (x + 16)(x + -12) = 0 Reorder the terms: (16 + x)(x + -12) = 0 Reorder the terms: (16 + x)(-12 + x) = 0 Multiply (16 + x) * (-12 + x) (16(-12 + x) + x(-12 + x)) = 0 ((-12 * 16 + x * 16) + x(-12 + x)) = 0 ((-192 + 16x) + x(-12 + x)) = 0 (-192 + 16x + (-12 * x + x * x)) = 0 (-192 + 16x + (-12x + x2)) = 0 Combine like terms: 16x + -12x = 4x (-192 + 4x + x2) = 0 Solving -192 + 4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-16 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16Subproblem 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 = {-16, 12}
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