(12b^2)+(15b^3)=

Solution for (12b^2)+(15b^3)= equation:

Simplifying
(12b2) + (15b3) = 0

Solving
(12b2) + (15b3) = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b2'.
3b2(4 + (5b)) = 0

Ignore the factor 3.
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 '(4 + (5b))' equal to zero and attempt to solve:

Simplifying
4 + (5b) = 0

Solving
4 + (5b) = 0

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

Add '-4' to each side of the equation.
4 + -4 + (5b) = 0 + -4

Combine like terms: 4 + -4 = 0
0 + (5b) = 0 + -4
(5b) = 0 + -4

Combine like terms: 0 + -4 = -4
(5b) = -4

Divide each side by '5'.
b = -0.8

Simplifying
b = -0.8
Solution
b = {0, -0.8}