13b-2b^2=6

Solution for 13b-2b^2=6 equation:

Simplifying
13b + -2b2 = 6

Solving
13b + -2b2 = 6

Solving for variable 'b'.

Reorder the terms:
-6 + 13b + -2b2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 13b + -2b2 = 0

Factor a trinomial.
(-6 + b)(1 + -2b) = 0

Subproblem 1
Set the factor '(-6 + b)' equal to zero and attempt to solve:

Simplifying
-6 + b = 0

Solving
-6 + b = 0

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

Add '6' to each side of the equation.
-6 + 6 + b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + b = 0 + 6
b = 0 + 6

Combine like terms: 0 + 6 = 6
b = 6

Simplifying
b = 6
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 = {6, 0.5}