N*n*n-90=0

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Solution for N*n*n-90=0 equation:


Simplifying
N * n * n + -90 = 0

Multiply N * n
nN * n + -90 = 0

Multiply nN * n
n2N + -90 = 0

Reorder the terms:
-90 + n2N = 0

Solving
-90 + n2N = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '90' to each side of the equation.
-90 + 90 + n2N = 0 + 90

Combine like terms: -90 + 90 = 0
0 + n2N = 0 + 90
n2N = 0 + 90

Combine like terms: 0 + 90 = 90
n2N = 90

Divide each side by 'N'.
n2 = 90N-1

Simplifying
n2 = 90N-1

Reorder the terms:
-90N-1 + n2 = 90N-1 + -90N-1

Combine like terms: 90N-1 + -90N-1 = 0
-90N-1 + n2 = 0

Factor out the Greatest Common Factor (GCF), 'N-1'.
N-1(-90 + n2N) = 0

Subproblem 1

Set the factor 'N-1' equal to zero and attempt to solve: Simplifying N-1 = 0 Solving N-1 = 0 Move all terms containing n to the left, all other terms to the right. Add '-1N-1' to each side of the equation. N-1 + -1N-1 = 0 + -1N-1 Remove the zero: 0 = -1N-1 Simplifying 0 = -1N-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-90 + n2N)' equal to zero and attempt to solve: Simplifying -90 + n2N = 0 Solving -90 + n2N = 0 Move all terms containing n to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + n2N = 0 + 90 Combine like terms: -90 + 90 = 0 0 + n2N = 0 + 90 n2N = 0 + 90 Combine like terms: 0 + 90 = 90 n2N = 90 Divide each side by 'N'. n2 = 90N-1 Simplifying n2 = 90N-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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