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Simplifying 10x4n + -6x3n = 0 Reorder the terms: -6nx3 + 10nx4 = 0 Solving -6nx3 + 10nx4 = 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), '2nx3'. 2nx3(-3 + 5x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'nx3' equal to zero and attempt to solve: Simplifying nx3 = 0 Solving nx3 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nx3 = 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 '(-3 + 5x)' equal to zero and attempt to solve: Simplifying -3 + 5x = 0 Solving -3 + 5x = 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 + 5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 0 + 3 5x = 0 + 3 Combine like terms: 0 + 3 = 3 5x = 3 Add '-5x' to each side of the equation. 5x + -5x = 3 + -5x Combine like terms: 5x + -5x = 0 0 = 3 + -5x Simplifying 0 = 3 + -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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