21b^2+41b+18=0

Solution for 21b^2+41b+18=0 equation:

Simplifying
21b2 + 41b + 18 = 0

Reorder the terms:
18 + 41b + 21b2 = 0

Solving
18 + 41b + 21b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(9 + 7b)(2 + 3b) = 0

Subproblem 1
Set the factor '(9 + 7b)' equal to zero and attempt to solve:

Simplifying
9 + 7b = 0

Solving
9 + 7b = 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 + 7b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7b = 0 + -9
7b = 0 + -9

Combine like terms: 0 + -9 = -9
7b = -9

Divide each side by '7'.
b = -1.285714286

Simplifying
b = -1.285714286
Subproblem 2
Set the factor '(2 + 3b)' equal to zero and attempt to solve:

Simplifying
2 + 3b = 0

Solving
2 + 3b = 0

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

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

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

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

Divide each side by '3'.
b = -0.6666666667

Simplifying
b = -0.6666666667
Solution
b = {-1.285714286, -0.6666666667}