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Simplifying (4x + -1)(-2x + 3) = 0 Reorder the terms: (-1 + 4x)(-2x + 3) = 0 Reorder the terms: (-1 + 4x)(3 + -2x) = 0 Multiply (-1 + 4x) * (3 + -2x) (-1(3 + -2x) + 4x * (3 + -2x)) = 0 ((3 * -1 + -2x * -1) + 4x * (3 + -2x)) = 0 ((-3 + 2x) + 4x * (3 + -2x)) = 0 (-3 + 2x + (3 * 4x + -2x * 4x)) = 0 (-3 + 2x + (12x + -8x2)) = 0 Combine like terms: 2x + 12x = 14x (-3 + 14x + -8x2) = 0 Solving -3 + 14x + -8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + 2x)(1 + -4x) = 0Subproblem 1
Set the factor '(-3 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 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 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Subproblem 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 = {1.5, 0.25}
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