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Simplifying (4 + -2x)(3 + -4x) = 0 Multiply (4 + -2x) * (3 + -4x) (4(3 + -4x) + -2x * (3 + -4x)) = 0 ((3 * 4 + -4x * 4) + -2x * (3 + -4x)) = 0 ((12 + -16x) + -2x * (3 + -4x)) = 0 (12 + -16x + (3 * -2x + -4x * -2x)) = 0 (12 + -16x + (-6x + 8x2)) = 0 Combine like terms: -16x + -6x = -22x (12 + -22x + 8x2) = 0 Solving 12 + -22x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -11x + 4x2) = 0 Factor a trinomial. 2((3 + -4x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.75, 2}
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