2b^2-b=6

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

Simplifying
2b2 + -1b = 6

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

Solving
-1b + 2b2 = 6

Solving for variable 'b'.

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

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

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

Simplifying
2 + -1b = 0

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

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

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

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Solution
b = {-1.5, 2}