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Simplifying (2X + -1)(3X) = 0 Reorder the terms: (-1 + 2X)(3X) = 0 Remove parenthesis around (3X) (-1 + 2X) * 3X = 0 Reorder the terms for easier multiplication: 3X(-1 + 2X) = 0 (-1 * 3X + 2X * 3X) = 0 (-3X + 6X2) = 0 Solving -3X + 6X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '3X'. 3X(-1 + 2X) = 0 Ignore the factor 3.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 + 2X)' equal to zero and attempt to solve: Simplifying -1 + 2X = 0 Solving -1 + 2X = 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 + 2X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2X = 0 + 1 2X = 0 + 1 Combine like terms: 0 + 1 = 1 2X = 1 Divide each side by '2'. X = 0.5 Simplifying X = 0.5Solution
X = {0, 0.5}
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