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Simplifying (4x + 3)(2x + -1) = 0 Reorder the terms: (3 + 4x)(2x + -1) = 0 Reorder the terms: (3 + 4x)(-1 + 2x) = 0 Multiply (3 + 4x) * (-1 + 2x) (3(-1 + 2x) + 4x * (-1 + 2x)) = 0 ((-1 * 3 + 2x * 3) + 4x * (-1 + 2x)) = 0 ((-3 + 6x) + 4x * (-1 + 2x)) = 0 (-3 + 6x + (-1 * 4x + 2x * 4x)) = 0 (-3 + 6x + (-4x + 8x2)) = 0 Combine like terms: 6x + -4x = 2x (-3 + 2x + 8x2) = 0 Solving -3 + 2x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x)(1 + -2x) = 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 + -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 = 0.5Solution
x = {-0.75, 0.5}
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