49b^3-1b=0

Solution for 49b^3-1b=0 equation:

Simplifying
49b3 + -1b = 0

Reorder the terms:
-1b + 49b3 = 0

Solving
-1b + 49b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-1 + 49b2) = 0

Factor a difference between two squares.
b((1 + 7b)(-1 + 7b)) = 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 '(1 + 7b)' equal to zero and attempt to solve:

Simplifying
1 + 7b = 0

Solving
1 + 7b = 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 + 7b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7b = 0 + -1
7b = 0 + -1

Combine like terms: 0 + -1 = -1
7b = -1

Divide each side by '7'.
b = -0.1428571429

Simplifying
b = -0.1428571429
Subproblem 3
Set the factor '(-1 + 7b)' equal to zero and attempt to solve:

Simplifying
-1 + 7b = 0

Solving
-1 + 7b = 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 + 7b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7b = 0 + 1
7b = 0 + 1

Combine like terms: 0 + 1 = 1
7b = 1

Divide each side by '7'.
b = 0.1428571429

Simplifying
b = 0.1428571429
Solution
b = {0, -0.1428571429, 0.1428571429}