-2b^2+b+36=0

Solution for -2b^2+b+36=0 equation:

Simplifying
-2b2 + b + 36 = 0

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

Solving
36 + b + -2b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(9 + -2b)(4 + b) = 0

Subproblem 1
Set the factor '(9 + -2b)' equal to zero and attempt to solve:

Simplifying
9 + -2b = 0

Solving
9 + -2b = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2b = 0 + -9
-2b = 0 + -9

Combine like terms: 0 + -9 = -9
-2b = -9

Divide each side by '-2'.
b = 4.5

Simplifying
b = 4.5
Subproblem 2
Set the factor '(4 + b)' equal to zero and attempt to solve:

Simplifying
4 + b = 0

Solving
4 + b = 0

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

Add '-4' to each side of the equation.
4 + -4 + b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + b = 0 + -4
b = 0 + -4

Combine like terms: 0 + -4 = -4
b = -4

Simplifying
b = -4
Solution
b = {4.5, -4}