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Simplifying 0 = 15n + 3n4 + -4n + 12n4 + n Reorder the terms: 0 = 15n + -4n + n + 3n4 + 12n4 Combine like terms: 15n + -4n = 11n 0 = 11n + n + 3n4 + 12n4 Combine like terms: 11n + n = 12n 0 = 12n + 3n4 + 12n4 Combine like terms: 3n4 + 12n4 = 15n4 0 = 12n + 15n4 Solving 0 = 12n + 15n4 Solving for variable 'n'. Remove the zero: -12n + -15n4 = 12n + 15n4 + -12n + -15n4 Reorder the terms: -12n + -15n4 = 12n + -12n + 15n4 + -15n4 Combine like terms: 12n + -12n = 0 -12n + -15n4 = 0 + 15n4 + -15n4 -12n + -15n4 = 15n4 + -15n4 Combine like terms: 15n4 + -15n4 = 0 -12n + -15n4 = 0 Factor out the Greatest Common Factor (GCF), '-3n'. -3n(4 + 5n3) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(4 + 5n3)' equal to zero and attempt to solve: Simplifying 4 + 5n3 = 0 Solving 4 + 5n3 = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5n3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5n3 = 0 + -4 5n3 = 0 + -4 Combine like terms: 0 + -4 = -4 5n3 = -4 Divide each side by '5'. n3 = -0.8 Simplifying n3 = -0.8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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