2b^2+b-300=0

Solution for 2b^2+b-300=0 equation:

Simplifying
2b2 + b + -300 = 0

Reorder the terms:
-300 + b + 2b2 = 0

Solving
-300 + b + 2b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-25 + -2b)(12 + -1b) = 0

Subproblem 1
Set the factor '(-25 + -2b)' equal to zero and attempt to solve:

Simplifying
-25 + -2b = 0

Solving
-25 + -2b = 0

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

Add '25' to each side of the equation.
-25 + 25 + -2b = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -2b = 0 + 25
-2b = 0 + 25

Combine like terms: 0 + 25 = 25
-2b = 25

Divide each side by '-2'.
b = -12.5

Simplifying
b = -12.5
Subproblem 2
Set the factor '(12 + -1b)' equal to zero and attempt to solve:

Simplifying
12 + -1b = 0

Solving
12 + -1b = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1b = 0 + -12
-1b = 0 + -12

Combine like terms: 0 + -12 = -12
-1b = -12

Divide each side by '-1'.
b = 12

Simplifying
b = 12
Solution
b = {-12.5, 12}