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Simplifying 0 = x(x + -12) Reorder the terms: 0 = x(-12 + x) 0 = (-12 * x + x * x) 0 = (-12x + x2) Solving 0 = -12x + x2 Solving for variable 'x'. Remove the zero: 12x + -1x2 = -12x + x2 + 12x + -1x2 Reorder the terms: 12x + -1x2 = -12x + 12x + x2 + -1x2 Combine like terms: -12x + 12x = 0 12x + -1x2 = 0 + x2 + -1x2 12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(12 + -1x) = 0Subproblem 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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {0, 12}
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