(6v^4+5)+(-5+7v^4+3v^2)=0

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Solution for (6v^4+5)+(-5+7v^4+3v^2)=0 equation:


Simplifying
(6v4 + 5) + (-5 + 7v4 + 3v2) = 0

Reorder the terms:
(5 + 6v4) + (-5 + 7v4 + 3v2) = 0

Remove parenthesis around (5 + 6v4)
5 + 6v4 + (-5 + 7v4 + 3v2) = 0

Reorder the terms:
5 + 6v4 + (-5 + 3v2 + 7v4) = 0

Remove parenthesis around (-5 + 3v2 + 7v4)
5 + 6v4 + -5 + 3v2 + 7v4 = 0

Reorder the terms:
5 + -5 + 3v2 + 6v4 + 7v4 = 0

Combine like terms: 5 + -5 = 0
0 + 3v2 + 6v4 + 7v4 = 0
3v2 + 6v4 + 7v4 = 0

Combine like terms: 6v4 + 7v4 = 13v4
3v2 + 13v4 = 0

Solving
3v2 + 13v4 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v2'.
v2(3 + 13v2) = 0

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 '(3 + 13v2)' equal to zero and attempt to solve: Simplifying 3 + 13v2 = 0 Solving 3 + 13v2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 13v2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 13v2 = 0 + -3 13v2 = 0 + -3 Combine like terms: 0 + -3 = -3 13v2 = -3 Divide each side by '13'. v2 = -0.2307692308 Simplifying v2 = -0.2307692308 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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