1n^2+1n=12n^2

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Solution for 1n^2+1n=12n^2 equation:


Simplifying
1n2 + 1n = 12n2

Reorder the terms:
1n + 1n2 = 12n2

Solving
1n + 1n2 = 12n2

Solving for variable 'n'.

Combine like terms: 1n2 + -12n2 = -11n2
1n + -11n2 = 12n2 + -12n2

Combine like terms: 12n2 + -12n2 = 0
1n + -11n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(1 + -11n) = 0

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 '(1 + -11n)' equal to zero and attempt to solve: Simplifying 1 + -11n = 0 Solving 1 + -11n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -11n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -11n = 0 + -1 -11n = 0 + -1 Combine like terms: 0 + -1 = -1 -11n = -1 Divide each side by '-11'. n = 0.09090909091 Simplifying n = 0.09090909091

Solution

n = {0, 0.09090909091}

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