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Simplifying 12X2 + -3X = 9X Reorder the terms: -3X + 12X2 = 9X Solving -3X + 12X2 = 9X Solving for variable 'X'. Reorder the terms: -3X + -9X + 12X2 = 9X + -9X Combine like terms: -3X + -9X = -12X -12X + 12X2 = 9X + -9X Combine like terms: 9X + -9X = 0 -12X + 12X2 = 0 Factor out the Greatest Common Factor (GCF), '12X'. 12X(-1 + X) = 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 + X)' equal to zero and attempt to solve: Simplifying -1 + X = 0 Solving -1 + X = 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 + X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + X = 0 + 1 X = 0 + 1 Combine like terms: 0 + 1 = 1 X = 1 Simplifying X = 1Solution
X = {0, 1}
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