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Simplifying x(12x2 + -12x) = 0 Reorder the terms: x(-12x + 12x2) = 0 (-12x * x + 12x2 * x) = 0 (-12x2 + 12x3) = 0 Solving -12x2 + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x2'. 12x2(-1 + x) = 0 Ignore the factor 12.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 + 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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