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Simplifying 2x(6x + -4) = 4 Reorder the terms: 2x(-4 + 6x) = 4 (-4 * 2x + 6x * 2x) = 4 (-8x + 12x2) = 4 Solving -8x + 12x2 = 4 Solving for variable 'x'. Reorder the terms: -4 + -8x + 12x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -8x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -2x + 3x2) = 0 Factor a trinomial. 4((-1 + -3x)(1 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
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 = 1Solution
x = {-0.3333333333, 1}
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