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Simplifying 15n3 + -6n2 = 0 Reorder the terms: -6n2 + 15n3 = 0 Solving -6n2 + 15n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n2'. 3n2(-2 + 5n) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}Subproblem 2
Set the factor '(-2 + 5n)' equal to zero and attempt to solve: Simplifying -2 + 5n = 0 Solving -2 + 5n = 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 + 5n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5n = 0 + 2 5n = 0 + 2 Combine like terms: 0 + 2 = 2 5n = 2 Divide each side by '5'. n = 0.4 Simplifying n = 0.4Solution
n = {0, 0.4}
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