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Simplifying (4x + -3)(2x + -1) = 3 Reorder the terms: (-3 + 4x)(2x + -1) = 3 Reorder the terms: (-3 + 4x)(-1 + 2x) = 3 Multiply (-3 + 4x) * (-1 + 2x) (-3(-1 + 2x) + 4x * (-1 + 2x)) = 3 ((-1 * -3 + 2x * -3) + 4x * (-1 + 2x)) = 3 ((3 + -6x) + 4x * (-1 + 2x)) = 3 (3 + -6x + (-1 * 4x + 2x * 4x)) = 3 (3 + -6x + (-4x + 8x2)) = 3 Combine like terms: -6x + -4x = -10x (3 + -10x + 8x2) = 3 Add '-3' to each side of the equation. 3 + -10x + -3 + 8x2 = 3 + -3 Reorder the terms: 3 + -3 + -10x + 8x2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -10x + 8x2 = 3 + -3 -10x + 8x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -10x + 8x2 = 0 Solving -10x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-5 + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-5 + 4x)' equal to zero and attempt to solve: Simplifying -5 + 4x = 0 Solving -5 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 0 + 5 4x = 0 + 5 Combine like terms: 0 + 5 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25Solution
x = {0, 1.25}
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