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Simplifying 12X2 = 3X Solving 12X2 = 3X Solving for variable 'X'. Reorder the terms: -3X + 12X2 = 3X + -3X Combine like terms: 3X + -3X = 0 -3X + 12X2 = 0 Factor out the Greatest Common Factor (GCF), '3X'. 3X(-1 + 4X) = 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 + 4X)' equal to zero and attempt to solve: Simplifying -1 + 4X = 0 Solving -1 + 4X = 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 + 4X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4X = 0 + 1 4X = 0 + 1 Combine like terms: 0 + 1 = 1 4X = 1 Divide each side by '4'. X = 0.25 Simplifying X = 0.25Solution
X = {0, 0.25}
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