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Simplifying (x + 6)(x + -12) = 0 Reorder the terms: (6 + x)(x + -12) = 0 Reorder the terms: (6 + x)(-12 + x) = 0 Multiply (6 + x) * (-12 + x) (6(-12 + x) + x(-12 + x)) = 0 ((-12 * 6 + x * 6) + x(-12 + x)) = 0 ((-72 + 6x) + x(-12 + x)) = 0 (-72 + 6x + (-12 * x + x * x)) = 0 (-72 + 6x + (-12x + x2)) = 0 Combine like terms: 6x + -12x = -6x (-72 + -6x + x2) = 0 Solving -72 + -6x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(12 + -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 '(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 = {-6, 12}
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