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Simplifying (4x + -1)(3x + 2) = 0 Reorder the terms: (-1 + 4x)(3x + 2) = 0 Reorder the terms: (-1 + 4x)(2 + 3x) = 0 Multiply (-1 + 4x) * (2 + 3x) (-1(2 + 3x) + 4x * (2 + 3x)) = 0 ((2 * -1 + 3x * -1) + 4x * (2 + 3x)) = 0 ((-2 + -3x) + 4x * (2 + 3x)) = 0 (-2 + -3x + (2 * 4x + 3x * 4x)) = 0 (-2 + -3x + (8x + 12x2)) = 0 Combine like terms: -3x + 8x = 5x (-2 + 5x + 12x2) = 0 Solving -2 + 5x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -3x)(1 + -4x) = 0Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-0.6666666667, 0.25}
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