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Simplifying 12X3 = 4X2 Solving 12X3 = 4X2 Solving for variable 'X'. Reorder the terms: -4X2 + 12X3 = 4X2 + -4X2 Combine like terms: 4X2 + -4X2 = 0 -4X2 + 12X3 = 0 Factor out the Greatest Common Factor (GCF), '4X2'. 4X2(-1 + 3X) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve: Simplifying X2 = 0 Solving X2 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X2 = 0 Take the square root of each side: X = {0}Subproblem 2
Set the factor '(-1 + 3X)' equal to zero and attempt to solve: Simplifying -1 + 3X = 0 Solving -1 + 3X = 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 + 3X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3X = 0 + 1 3X = 0 + 1 Combine like terms: 0 + 1 = 1 3X = 1 Divide each side by '3'. X = 0.3333333333 Simplifying X = 0.3333333333Solution
X = {0, 0.3333333333}
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