240b^2-472b+72=0

Solution for 240b^2-472b+72=0 equation:

Simplifying
240b2 + -472b + 72 = 0

Reorder the terms:
72 + -472b + 240b2 = 0

Solving
72 + -472b + 240b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '8'.
8(9 + -59b + 30b2) = 0

Factor a trinomial.
8((1 + -6b)(9 + -5b)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(1 + -6b)' equal to zero and attempt to solve:

Simplifying
1 + -6b = 0

Solving
1 + -6b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6b = 0 + -1
-6b = 0 + -1

Combine like terms: 0 + -1 = -1
-6b = -1

Divide each side by '-6'.
b = 0.1666666667

Simplifying
b = 0.1666666667
Subproblem 2
Set the factor '(9 + -5b)' equal to zero and attempt to solve:

Simplifying
9 + -5b = 0

Solving
9 + -5b = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5b = 0 + -9
-5b = 0 + -9

Combine like terms: 0 + -9 = -9
-5b = -9

Divide each side by '-5'.
b = 1.8

Simplifying
b = 1.8
Solution
b = {0.1666666667, 1.8}