12b^6+22b^5+8b^4=

Solution for 12b^6+22b^5+8b^4= equation:

Simplifying
12b6 + 22b5 + 8b4 = 0

Reorder the terms:
8b4 + 22b5 + 12b6 = 0

Solving
8b4 + 22b5 + 12b6 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b4'.
2b4(4 + 11b + 6b2) = 0

Factor a trinomial.
2b4((4 + 3b)(1 + 2b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'b4' equal to zero and attempt to solve:

Simplifying
b4 = 0

Solving
b4 = 0

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

Simplifying
b4 = 0

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 '(4 + 3b)' equal to zero and attempt to solve:

Simplifying
4 + 3b = 0

Solving
4 + 3b = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3b = 0 + -4
3b = 0 + -4

Combine like terms: 0 + -4 = -4
3b = -4

Divide each side by '3'.
b = -1.333333333

Simplifying
b = -1.333333333
Subproblem 3
Set the factor '(1 + 2b)' equal to zero and attempt to solve:

Simplifying
1 + 2b = 0

Solving
1 + 2b = 0

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

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

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

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

Divide each side by '2'.
b = -0.5

Simplifying
b = -0.5
Solution
b = {-1.333333333, -0.5}