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Simplifying (4 + 3x)(4 + -4x) = 0 Multiply (4 + 3x) * (4 + -4x) (4(4 + -4x) + 3x * (4 + -4x)) = 0 ((4 * 4 + -4x * 4) + 3x * (4 + -4x)) = 0 ((16 + -16x) + 3x * (4 + -4x)) = 0 (16 + -16x + (4 * 3x + -4x * 3x)) = 0 (16 + -16x + (12x + -12x2)) = 0 Combine like terms: -16x + 12x = -4x (16 + -4x + -12x2) = 0 Solving 16 + -4x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -1x + -3x2) = 0 Factor a trinomial. 4((1 + -1x)(4 + 3x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 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 = {1, -1.333333333}
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