18b^2-4b+27b-6=

Solution for 18b^2-4b+27b-6= equation:

Simplifying
18b2 + -4b + 27b + -6 = 0

Reorder the terms:
-6 + -4b + 27b + 18b2 = 0

Combine like terms: -4b + 27b = 23b
-6 + 23b + 18b2 = 0

Solving
-6 + 23b + 18b2 = 0

Solving for variable 'b'.

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

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

Simplifying
2 + -9b = 0

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

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

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

Divide each side by '-9'.
b = 0.2222222222

Simplifying
b = 0.2222222222
Solution
b = {-1.5, 0.2222222222}