v^2n^2+2vn^2-35n^2=0

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Solution for v^2n^2+2vn^2-35n^2=0 equation: 


Simplifying
v2n2 + 2vn2 + -35n2 = 0

Reorder the terms:
-35n2 + 2n2v + n2v2 = 0

Solving
-35n2 + 2n2v + n2v2 = 0

Solving for variable 'n'.

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

Factor out the Greatest Common Factor (GCF), 'n2'.
n2(-35 + 2v + v2) = 0

Factor a trinomial.
n2((-7 + -1v)(5 + -1v)) = 0


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 '(-7 + -1v)' equal to zero and attempt to solve:

Simplifying
-7 + -1v = 0

Solving
-7 + -1v = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1v = 0 + 7
-1v = 0 + 7

Combine like terms: 0 + 7 = 7
-1v = 7

Add 'v' to each side of the equation.
-1v + v = 7 + v

Combine like terms: -1v + v = 0
0 = 7 + v

Simplifying
0 = 7 + v

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 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 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Add 'v' to each side of the equation.
-1v + v = -5 + v

Combine like terms: -1v + v = 0
0 = -5 + v

Simplifying
0 = -5 + v

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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