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Simplifying 6x^{2}+ -18x = 0 Reorder the terms: -18x + 6x^{2}= 0 Solving -18x + 6x^{2}= 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-3 + x) = 0 Ignore the factor 6.## 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 = 0## Subproblem 2

Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3## Solution

x = {0, 3}

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