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Simplifying (2X + -4X)(3X + -2) = 0 Combine like terms: 2X + -4X = -2X (-2X)(3X + -2) = 0 Remove parenthesis around (-2X) -2X(3X + -2) = 0 Reorder the terms: -2X(-2 + 3X) = 0 (-2 * -2X + 3X * -2X) = 0 (4X + -6X2) = 0 Solving 4X + -6X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X'. 2X(2 + -3X) = 0 Ignore the factor 2.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 + -3X)' equal to zero and attempt to solve: Simplifying 2 + -3X = 0 Solving 2 + -3X = 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 + -3X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3X = 0 + -2 -3X = 0 + -2 Combine like terms: 0 + -2 = -2 -3X = -2 Divide each side by '-3'. X = 0.6666666667 Simplifying X = 0.6666666667Solution
X = {0, 0.6666666667}
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