-4b^7+4b^4+3b=0

Solution for -4b^7+4b^4+3b=0 equation:

Simplifying
-4b7 + 4b4 + 3b = 0

Reorder the terms:
3b + 4b4 + -4b7 = 0

Solving
3b + 4b4 + -4b7 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(3 + 4b3 + -4b6) = 0

Factor a trinomial.
b((3 + -2b3)(1 + 2b3)) = 0

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(3 + -2b3)' equal to zero and attempt to solve:

Simplifying
3 + -2b3 = 0

Solving
3 + -2b3 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2b3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b3 = 0 + -3
-2b3 = 0 + -3

Combine like terms: 0 + -3 = -3
-2b3 = -3

Divide each side by '-2'.
b3 = 1.5

Simplifying
b3 = 1.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(1 + 2b3)' equal to zero and attempt to solve:

Simplifying
1 + 2b3 = 0

Solving
1 + 2b3 = 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 + 2b3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2b3 = 0 + -1
2b3 = 0 + -1

Combine like terms: 0 + -1 = -1
2b3 = -1

Divide each side by '2'.
b3 = -0.5

Simplifying
b3 = -0.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}