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Simplifying 12n6 + 72n3 + 108 = 0 Reorder the terms: 108 + 72n3 + 12n6 = 0 Solving 108 + 72n3 + 12n6 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '12'. 12(9 + 6n3 + n6) = 0 Factor a trinomial. 12((3 + n3)(3 + n3)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(3 + n3)' equal to zero and attempt to solve: Simplifying 3 + n3 = 0 Solving 3 + n3 = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n3 = 0 + -3 n3 = 0 + -3 Combine like terms: 0 + -3 = -3 n3 = -3 Simplifying n3 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + n3)' equal to zero and attempt to solve: Simplifying 3 + n3 = 0 Solving 3 + n3 = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n3 = 0 + -3 n3 = 0 + -3 Combine like terms: 0 + -3 = -3 n3 = -3 Simplifying n3 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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