15=2b^2+b

Solution for 15=2b^2+b equation:

Simplifying
15 = 2b2 + b

Reorder the terms:
15 = b + 2b2

Solving
15 = b + 2b2

Solving for variable 'b'.

Reorder the terms:
15 + -1b + -2b2 = b + -1b + 2b2 + -2b2

Combine like terms: b + -1b = 0
15 + -1b + -2b2 = 0 + 2b2 + -2b2
15 + -1b + -2b2 = 2b2 + -2b2

Combine like terms: 2b2 + -2b2 = 0
15 + -1b + -2b2 = 0

Factor a trinomial.
(5 + -2b)(3 + b) = 0

Subproblem 1
Set the factor '(5 + -2b)' equal to zero and attempt to solve:

Simplifying
5 + -2b = 0

Solving
5 + -2b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2b = 0 + -5
-2b = 0 + -5

Combine like terms: 0 + -5 = -5
-2b = -5

Divide each side by '-2'.
b = 2.5

Simplifying
b = 2.5
Subproblem 2
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

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

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

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

Simplifying
b = -3
Solution
b = {2.5, -3}