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Simplifying (3x + 4)(4x + -1) = 0 Reorder the terms: (4 + 3x)(4x + -1) = 0 Reorder the terms: (4 + 3x)(-1 + 4x) = 0 Multiply (4 + 3x) * (-1 + 4x) (4(-1 + 4x) + 3x * (-1 + 4x)) = 0 ((-1 * 4 + 4x * 4) + 3x * (-1 + 4x)) = 0 ((-4 + 16x) + 3x * (-1 + 4x)) = 0 (-4 + 16x + (-1 * 3x + 4x * 3x)) = 0 (-4 + 16x + (-3x + 12x2)) = 0 Combine like terms: 16x + -3x = 13x (-4 + 13x + 12x2) = 0 Solving -4 + 13x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x)(1 + -4x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, 0.25}
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