b^4-13b^2-30=

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Solution for b^4-13b^2-30= equation: 


Simplifying
b4 + -13b2 + -30 = 0

Reorder the terms:
-30 + -13b2 + b4 = 0

Solving
-30 + -13b2 + b4 = 0

Solving for variable 'b'.

Factor a trinomial.
(-2 + -1b2)(15 + -1b2) = 0


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

Simplifying
-2 + -1b2 = 0

Solving
-2 + -1b2 = 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 + -1b2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1b2 = 0 + 2
-1b2 = 0 + 2

Combine like terms: 0 + 2 = 2
-1b2 = 2

Divide each side by '-1'.
b2 = -2

Simplifying
b2 = -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 '(15 + -1b2)' equal to zero and attempt to solve:

Simplifying
15 + -1b2 = 0

Solving
15 + -1b2 = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1b2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1b2 = 0 + -15
-1b2 = 0 + -15

Combine like terms: 0 + -15 = -15
-1b2 = -15

Divide each side by '-1'.
b2 = 15

Simplifying
b2 = 15

Take the square root of each side:
b = {-3.872983346, 3.872983346}
Solution
b = {-3.872983346, 3.872983346}

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