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Simplifying 15x3n + -6x2n = 0 Reorder the terms: -6nx2 + 15nx3 = 0 Solving -6nx2 + 15nx3 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3nx2'. 3nx2(-2 + 5x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'nx2' equal to zero and attempt to solve: Simplifying nx2 = 0 Solving nx2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nx2 = 0 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 '(-2 + 5x)' equal to zero and attempt to solve: Simplifying -2 + 5x = 0 Solving -2 + 5x = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 0 + 2 5x = 0 + 2 Combine like terms: 0 + 2 = 2 5x = 2 Add '-5x' to each side of the equation. 5x + -5x = 2 + -5x Combine like terms: 5x + -5x = 0 0 = 2 + -5x Simplifying 0 = 2 + -5x 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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