v^4-30v^2-64=0

Solution for v^4-30v^2-64=0 equation:

Simplifying
v4 + -30v2 + -64 = 0

Reorder the terms:
-64 + -30v2 + v4 = 0

Solving
-64 + -30v2 + v4 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + -1v2)(32 + -1v2) = 0

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

Simplifying
-2 + -1v2 = 0

Solving
-2 + -1v2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1v2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1v2 = 0 + 2
-1v2 = 0 + 2

Combine like terms: 0 + 2 = 2
-1v2 = 2

Divide each side by '-1'.
v2 = -2

Simplifying
v2 = -2

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 '(32 + -1v2)' equal to zero and attempt to solve:

Simplifying
32 + -1v2 = 0

Solving
32 + -1v2 = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1v2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1v2 = 0 + -32
-1v2 = 0 + -32

Combine like terms: 0 + -32 = -32
-1v2 = -32

Divide each side by '-1'.
v2 = 32

Simplifying
v2 = 32

Take the square root of each side:
v = {-5.656854249, 5.656854249}
Solution
v = {-5.656854249, 5.656854249}