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Simplifying (3x + 1)(-4x + 3) = 0 Reorder the terms: (1 + 3x)(-4x + 3) = 0 Reorder the terms: (1 + 3x)(3 + -4x) = 0 Multiply (1 + 3x) * (3 + -4x) (1(3 + -4x) + 3x * (3 + -4x)) = 0 ((3 * 1 + -4x * 1) + 3x * (3 + -4x)) = 0 ((3 + -4x) + 3x * (3 + -4x)) = 0 (3 + -4x + (3 * 3x + -4x * 3x)) = 0 (3 + -4x + (9x + -12x2)) = 0 Combine like terms: -4x + 9x = 5x (3 + 5x + -12x2) = 0 Solving 3 + 5x + -12x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -4x)(1 + 3x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 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 = {0.75, -0.3333333333}
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