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Simplifying 0 = 12x(17 + -1x) 0 = (17 * 12x + -1x * 12x) 0 = (204x + -12x2) Solving 0 = 204x + -12x2 Solving for variable 'x'. Remove the zero: -204x + 12x2 = 204x + -12x2 + -204x + 12x2 Reorder the terms: -204x + 12x2 = 204x + -204x + -12x2 + 12x2 Combine like terms: 204x + -204x = 0 -204x + 12x2 = 0 + -12x2 + 12x2 -204x + 12x2 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 -204x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(-17 + 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 '(-17 + x)' equal to zero and attempt to solve: Simplifying -17 + x = 0 Solving -17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + x = 0 + 17 x = 0 + 17 Combine like terms: 0 + 17 = 17 x = 17 Simplifying x = 17Solution
x = {0, 17}
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