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Simplifying 0 = 3x(2x + -4) Reorder the terms: 0 = 3x(-4 + 2x) 0 = (-4 * 3x + 2x * 3x) 0 = (-12x + 6x2) Solving 0 = -12x + 6x2 Solving for variable 'x'. Remove the zero: 12x + -6x2 = -12x + 6x2 + 12x + -6x2 Reorder the terms: 12x + -6x2 = -12x + 12x + 6x2 + -6x2 Combine like terms: -12x + 12x = 0 12x + -6x2 = 0 + 6x2 + -6x2 12x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 12x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(2 + -1x) = 0 Ignore the factor 6.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 '(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, 2}
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