3b^2+6=11b

Solution for 3b^2+6=11b equation:

Simplifying
3b2 + 6 = 11b

Reorder the terms:
6 + 3b2 = 11b

Solving
6 + 3b2 = 11b

Solving for variable 'b'.

Reorder the terms:
6 + -11b + 3b2 = 11b + -11b

Combine like terms: 11b + -11b = 0
6 + -11b + 3b2 = 0

Factor a trinomial.
(2 + -3b)(3 + -1b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 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 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {0.6666666667, 3}