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Simplifying (x + 4)(3x + -1) = 0 Reorder the terms: (4 + x)(3x + -1) = 0 Reorder the terms: (4 + x)(-1 + 3x) = 0 Multiply (4 + x) * (-1 + 3x) (4(-1 + 3x) + x(-1 + 3x)) = 0 ((-1 * 4 + 3x * 4) + x(-1 + 3x)) = 0 ((-4 + 12x) + x(-1 + 3x)) = 0 (-4 + 12x + (-1 * x + 3x * x)) = 0 (-4 + 12x + (-1x + 3x2)) = 0 Combine like terms: 12x + -1x = 11x (-4 + 11x + 3x2) = 0 Solving -4 + 11x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(1 + -3x) = 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 '(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 = {-4, 0.3333333333}
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