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Simplifying 6x2 + 66x + 168x = 0 Reorder the terms: 66x + 168x + 6x2 = 0 Combine like terms: 66x + 168x = 234x 234x + 6x2 = 0 Solving 234x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(39 + 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 = 0Subproblem 2
Set the factor '(39 + x)' equal to zero and attempt to solve: Simplifying 39 + x = 0 Solving 39 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + x = 0 + -39 x = 0 + -39 Combine like terms: 0 + -39 = -39 x = -39 Simplifying x = -39Solution
x = {0, -39}
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