5b^3+34b^2=0

Solution for 5b^3+34b^2=0 equation:

Simplifying
5b3 + 34b2 = 0

Reorder the terms:
34b2 + 5b3 = 0

Solving
34b2 + 5b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b2'.
b2(34 + 5b) = 0

Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve:

Simplifying
b2 = 0

Solving
b2 = 0

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

Simplifying
b2 = 0

Take the square root of each side:
b = {0}
Subproblem 2
Set the factor '(34 + 5b)' equal to zero and attempt to solve:

Simplifying
34 + 5b = 0

Solving
34 + 5b = 0

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

Add '-34' to each side of the equation.
34 + -34 + 5b = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 5b = 0 + -34
5b = 0 + -34

Combine like terms: 0 + -34 = -34
5b = -34

Divide each side by '5'.
b = -6.8

Simplifying
b = -6.8
Solution
b = {0, -6.8}