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