6b^4-9b^2-60=0

Solution for 6b^4-9b^2-60=0 equation:

Simplifying
6b4 + -9b2 + -60 = 0

Reorder the terms:
-60 + -9b2 + 6b4 = 0

Solving
-60 + -9b2 + 6b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-20 + -3b2 + 2b4) = 0

Factor a trinomial.
3((-5 + -2b2)(4 + -1b2)) = 0

Factor a difference between two squares.
3((-5 + -2b2)((2 + b)(2 + -1b))) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-5 + -2b2)' equal to zero and attempt to solve:

Simplifying
-5 + -2b2 = 0

Solving
-5 + -2b2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2b2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2b2 = 0 + 5
-2b2 = 0 + 5

Combine like terms: 0 + 5 = 5
-2b2 = 5

Divide each side by '-2'.
b2 = -2.5

Simplifying
b2 = -2.5

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 '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

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

Combine like terms: 2 + -2 = 0
0 + b = 0 + -2
b = 0 + -2

Combine like terms: 0 + -2 = -2
b = -2

Simplifying
b = -2
Subproblem 3
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

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

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

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

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

Simplifying
b = 2
Solution
b = {-2, 2}