15n=3n^2

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Solution for 15n=3n^2 equation:


Simplifying
15n = 3n2

Solving
15n = 3n2

Solving for variable 'n'.

Combine like terms: 3n2 + -3n2 = 0
15n + -3n2 = 0

Factor out the Greatest Common Factor (GCF), '3n'.
3n(5 + -1n) = 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 = 0

Subproblem 2

Set the factor '(5 + -1n)' equal to zero and attempt to solve: Simplifying 5 + -1n = 0 Solving 5 + -1n = 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 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5

Solution

n = {0, 5}

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