64b*b*b-1b=0

Solution for 64b*b*b-1b=0 equation:

Simplifying
64b * b * b + -1b = 0

Multiply b * b
64b2 * b + -1b = 0

Multiply b2 * b
64b3 + -1b = 0

Reorder the terms:
-1b + 64b3 = 0

Solving
-1b + 64b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-1 + 64b2) = 0

Factor a difference between two squares.
b((1 + 8b)(-1 + 8b)) = 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 + 8b)' equal to zero and attempt to solve:

Simplifying
1 + 8b = 0

Solving
1 + 8b = 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 + 8b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8b = 0 + -1
8b = 0 + -1

Combine like terms: 0 + -1 = -1
8b = -1

Divide each side by '8'.
b = -0.125

Simplifying
b = -0.125
Subproblem 3
Set the factor '(-1 + 8b)' equal to zero and attempt to solve:

Simplifying
-1 + 8b = 0

Solving
-1 + 8b = 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 + 8b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8b = 0 + 1
8b = 0 + 1

Combine like terms: 0 + 1 = 1
8b = 1

Divide each side by '8'.
b = 0.125

Simplifying
b = 0.125
Solution
b = {0, -0.125, 0.125}