3b(4b-5)=

Solution for 3b(4b-5)= equation:

Simplifying
3b(4b + -5) = 0

Reorder the terms:
3b(-5 + 4b) = 0
(-5 * 3b + 4b * 3b) = 0
(-15b + 12b2) = 0

Solving
-15b + 12b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-5 + 4b = 0

Solving
-5 + 4b = 0

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

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

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

Combine like terms: 0 + 5 = 5
4b = 5

Divide each side by '4'.
b = 1.25

Simplifying
b = 1.25
Solution
b = {0, 1.25}