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Simplifying 0 = 17x(12 + -1x) 0 = (12 * 17x + -1x * 17x) 0 = (204x + -17x2) Solving 0 = 204x + -17x2 Solving for variable 'x'. Remove the zero: -204x + 17x2 = 204x + -17x2 + -204x + 17x2 Reorder the terms: -204x + 17x2 = 204x + -204x + -17x2 + 17x2 Combine like terms: 204x + -204x = 0 -204x + 17x2 = 0 + -17x2 + 17x2 -204x + 17x2 = -17x2 + 17x2 Combine like terms: -17x2 + 17x2 = 0 -204x + 17x2 = 0 Factor out the Greatest Common Factor (GCF), '17x'. 17x(-12 + x) = 0 Ignore the factor 17.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 '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 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 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Simplifying x = 12Solution
x = {0, 12}
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