6b^2+43b+72=0

Solution for 6b^2+43b+72=0 equation:

Simplifying
6b2 + 43b + 72 = 0

Reorder the terms:
72 + 43b + 6b2 = 0

Solving
72 + 43b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(9 + 2b)(8 + 3b) = 0

Subproblem 1
Set the factor '(9 + 2b)' equal to zero and attempt to solve:

Simplifying
9 + 2b = 0

Solving
9 + 2b = 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 + 2b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2b = 0 + -9
2b = 0 + -9

Combine like terms: 0 + -9 = -9
2b = -9

Divide each side by '2'.
b = -4.5

Simplifying
b = -4.5
Subproblem 2
Set the factor '(8 + 3b)' equal to zero and attempt to solve:

Simplifying
8 + 3b = 0

Solving
8 + 3b = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3b = 0 + -8
3b = 0 + -8

Combine like terms: 0 + -8 = -8
3b = -8

Divide each side by '3'.
b = -2.666666667

Simplifying
b = -2.666666667
Solution
b = {-4.5, -2.666666667}