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Simplifying (-2x + 1)(4 + -3x) = 0 Reorder the terms: (1 + -2x)(4 + -3x) = 0 Multiply (1 + -2x) * (4 + -3x) (1(4 + -3x) + -2x * (4 + -3x)) = 0 ((4 * 1 + -3x * 1) + -2x * (4 + -3x)) = 0 ((4 + -3x) + -2x * (4 + -3x)) = 0 (4 + -3x + (4 * -2x + -3x * -2x)) = 0 (4 + -3x + (-8x + 6x2)) = 0 Combine like terms: -3x + -8x = -11x (4 + -11x + 6x2) = 0 Solving 4 + -11x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -2x)(4 + -3x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
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 = 1.333333333Solution
x = {0.5, 1.333333333}
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