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Simplifying 3(2x + -4) = 6x(x + -2) Reorder the terms: 3(-4 + 2x) = 6x(x + -2) (-4 * 3 + 2x * 3) = 6x(x + -2) (-12 + 6x) = 6x(x + -2) Reorder the terms: -12 + 6x = 6x(-2 + x) -12 + 6x = (-2 * 6x + x * 6x) -12 + 6x = (-12x + 6x2) Solving -12 + 6x = -12x + 6x2 Solving for variable 'x'. Combine like terms: 6x + 12x = 18x -12 + 18x + -6x2 = -12x + 6x2 + 12x + -6x2 Reorder the terms: -12 + 18x + -6x2 = -12x + 12x + 6x2 + -6x2 Combine like terms: -12x + 12x = 0 -12 + 18x + -6x2 = 0 + 6x2 + -6x2 -12 + 18x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -12 + 18x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + 3x + -1x2) = 0 Factor a trinomial. 6((-2 + x)(1 + -1x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 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 = {2, 1}
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