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Simplifying (x + -3)(x + -12) = 0 Reorder the terms: (-3 + x)(x + -12) = 0 Reorder the terms: (-3 + x)(-12 + x) = 0 Multiply (-3 + x) * (-12 + x) (-3(-12 + x) + x(-12 + x)) = 0 ((-12 * -3 + x * -3) + x(-12 + x)) = 0 ((36 + -3x) + x(-12 + x)) = 0 (36 + -3x + (-12 * x + x * x)) = 0 (36 + -3x + (-12x + x2)) = 0 Combine like terms: -3x + -12x = -15x (36 + -15x + x2) = 0 Solving 36 + -15x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = {3, 12}
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