(13v^2+5v^4)-(2v^5-v^4-v^2)=

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Solution for (13v^2+5v^4)-(2v^5-v^4-v^2)= equation: 


Simplifying
(13v2 + 5v4) + -1(2v5 + -1v4 + -1v2) = 0

Remove parenthesis around (13v2 + 5v4)
13v2 + 5v4 + -1(2v5 + -1v4 + -1v2) = 0

Reorder the terms:
13v2 + 5v4 + -1(-1v2 + -1v4 + 2v5) = 0
13v2 + 5v4 + (-1v2 * -1 + -1v4 * -1 + 2v5 * -1) = 0
13v2 + 5v4 + (1v2 + 1v4 + -2v5) = 0

Reorder the terms:
13v2 + 1v2 + 5v4 + 1v4 + -2v5 = 0

Combine like terms: 13v2 + 1v2 = 14v2
14v2 + 5v4 + 1v4 + -2v5 = 0

Combine like terms: 5v4 + 1v4 = 6v4
14v2 + 6v4 + -2v5 = 0

Solving
14v2 + 6v4 + -2v5 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v2'.
2v2(7 + 3v2 + -1v3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'v2' equal to zero and attempt to solve:

Simplifying
v2 = 0

Solving
v2 = 0

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

Simplifying
v2 = 0

Take the square root of each side:
v = {0}

Subproblem 2
Set the factor '(7 + 3v2 + -1v3)' equal to zero and attempt to solve:

Simplifying
7 + 3v2 + -1v3 = 0

Solving
7 + 3v2 + -1v3 = 0

The solution to this equation could not be determined.

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

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