-98b^3+72b=0

Solution for -98b^3+72b=0 equation:

Simplifying
-98b3 + 72b = 0

Reorder the terms:
72b + -98b3 = 0

Solving
72b + -98b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(36 + -49b2) = 0

Factor a difference between two squares.
2b((6 + 7b)(6 + -7b)) = 0

Ignore the factor 2.
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 '(6 + 7b)' equal to zero and attempt to solve:

Simplifying
6 + 7b = 0

Solving
6 + 7b = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7b = 0 + -6
7b = 0 + -6

Combine like terms: 0 + -6 = -6
7b = -6

Divide each side by '7'.
b = -0.8571428571

Simplifying
b = -0.8571428571
Subproblem 3
Set the factor '(6 + -7b)' equal to zero and attempt to solve:

Simplifying
6 + -7b = 0

Solving
6 + -7b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7b = 0 + -6
-7b = 0 + -6

Combine like terms: 0 + -6 = -6
-7b = -6

Divide each side by '-7'.
b = 0.8571428571

Simplifying
b = 0.8571428571
Solution
b = {0, -0.8571428571, 0.8571428571}