9B-6B^2=

Solution for 9B-6B^2= equation:

Simplifying
9B + -6B2 = 0

Solving
9B + -6B2 = 0

Solving for variable 'B'.

Factor out the Greatest Common Factor (GCF), '3B'.
3B(3 + -2B) = 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 '(3 + -2B)' equal to zero and attempt to solve:

Simplifying
3 + -2B = 0

Solving
3 + -2B = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2B = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2B = 0 + -3
-2B = 0 + -3

Combine like terms: 0 + -3 = -3
-2B = -3

Divide each side by '-2'.
B = 1.5

Simplifying
B = 1.5
Solution
B = {0, 1.5}