6b^2=2-b

Solution for 6b^2=2-b equation:

Simplifying
6b2 = 2 + -1b

Solving
6b2 = 2 + -1b

Solving for variable 'b'.

Reorder the terms:
-2 + b + 6b2 = 2 + -1b + -2 + b

Reorder the terms:
-2 + b + 6b2 = 2 + -2 + -1b + b

Combine like terms: 2 + -2 = 0
-2 + b + 6b2 = 0 + -1b + b
-2 + b + 6b2 = -1b + b

Combine like terms: -1b + b = 0
-2 + b + 6b2 = 0

Factor a trinomial.
(-2 + -3b)(1 + -2b) = 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 '(1 + -2b)' equal to zero and attempt to solve:

Simplifying
1 + -2b = 0

Solving
1 + -2b = 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 + -2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2b = 0 + -1
-2b = 0 + -1

Combine like terms: 0 + -1 = -1
-2b = -1

Divide each side by '-2'.
b = 0.5

Simplifying
b = 0.5
Solution
b = {-0.6666666667, 0.5}