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