20n^2-12n^3=0

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Solution for 20n^2-12n^3=0 equation:


Simplifying
20n2 + -12n3 = 0

Solving
20n2 + -12n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4n2'.
4n2(5 + -3n) = 0

Ignore the factor 4.

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 '(5 + -3n)' equal to zero and attempt to solve: Simplifying 5 + -3n = 0 Solving 5 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3n = 0 + -5 -3n = 0 + -5 Combine like terms: 0 + -5 = -5 -3n = -5 Divide each side by '-3'. n = 1.666666667 Simplifying n = 1.666666667

Solution

n = {0, 1.666666667}

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