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Simplifying (4x + -3)(2 + -1x) = 0 Reorder the terms: (-3 + 4x)(2 + -1x) = 0 Multiply (-3 + 4x) * (2 + -1x) (-3(2 + -1x) + 4x * (2 + -1x)) = 0 ((2 * -3 + -1x * -3) + 4x * (2 + -1x)) = 0 ((-6 + 3x) + 4x * (2 + -1x)) = 0 (-6 + 3x + (2 * 4x + -1x * 4x)) = 0 (-6 + 3x + (8x + -4x2)) = 0 Combine like terms: 3x + 8x = 11x (-6 + 11x + -4x2) = 0 Solving -6 + 11x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + x)(3 + -4x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
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 = 0.75Solution
x = {2, 0.75}
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