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Simplifying (3x + -1)(x + 12) = 0 Reorder the terms: (-1 + 3x)(x + 12) = 0 Reorder the terms: (-1 + 3x)(12 + x) = 0 Multiply (-1 + 3x) * (12 + x) (-1(12 + x) + 3x * (12 + x)) = 0 ((12 * -1 + x * -1) + 3x * (12 + x)) = 0 ((-12 + -1x) + 3x * (12 + x)) = 0 (-12 + -1x + (12 * 3x + x * 3x)) = 0 (-12 + -1x + (36x + 3x2)) = 0 Combine like terms: -1x + 36x = 35x (-12 + 35x + 3x2) = 0 Solving -12 + 35x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -1x)(1 + -3x) = 0Subproblem 1
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 = -12Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {-12, 0.3333333333}
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