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

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

Simplifying
(v2 + 5)(v2 + -5) = 0

Reorder the terms:
(5 + v2)(v2 + -5) = 0

Reorder the terms:
(5 + v2)(-5 + v2) = 0

Multiply (5 + v2) * (-5 + v2)
(5(-5 + v2) + v2(-5 + v2)) = 0
((-5 * 5 + v2 * 5) + v2(-5 + v2)) = 0
((-25 + 5v2) + v2(-5 + v2)) = 0
(-25 + 5v2 + (-5 * v2 + v2 * v2)) = 0
(-25 + 5v2 + (-5v2 + v4)) = 0

Combine like terms: 5v2 + -5v2 = 0
(-25 + 0 + v4) = 0
(-25 + v4) = 0

Solving
-25 + v4 = 0

Solving for variable 'v'.

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

Add '25' to each side of the equation.
-25 + 25 + v4 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + v4 = 0 + 25
v4 = 0 + 25

Combine like terms: 0 + 25 = 25
v4 = 25

Simplifying
v4 = 25

Reorder the terms:
-25 + v4 = 25 + -25

Combine like terms: 25 + -25 = 0
-25 + v4 = 0

Factor a difference between two squares.
(5 + v2)(-5 + v2) = 0

Subproblem 1
Set the factor '(5 + v2)' equal to zero and attempt to solve:

Simplifying
5 + v2 = 0

Solving
5 + v2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + v2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + v2 = 0 + -5
v2 = 0 + -5

Combine like terms: 0 + -5 = -5
v2 = -5

Simplifying
v2 = -5

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 '(-5 + v2)' equal to zero and attempt to solve:

Simplifying
-5 + v2 = 0

Solving
-5 + v2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + v2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + v2 = 0 + 5
v2 = 0 + 5

Combine like terms: 0 + 5 = 5
v2 = 5

Simplifying
v2 = 5

Take the square root of each side:
v = {-2.236067978, 2.236067978}
Solution
v = {-2.236067978, 2.236067978}