10b^2-37b-36=0

Solution for 10b^2-37b-36=0 equation:

Simplifying
10b2 + -37b + -36 = 0

Reorder the terms:
-36 + -37b + 10b2 = 0

Solving
-36 + -37b + 10b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-4 + -5b)(9 + -2b) = 0

Subproblem 1
Set the factor '(-4 + -5b)' equal to zero and attempt to solve:

Simplifying
-4 + -5b = 0

Solving
-4 + -5b = 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 + -5b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5b = 0 + 4
-5b = 0 + 4

Combine like terms: 0 + 4 = 4
-5b = 4

Divide each side by '-5'.
b = -0.8

Simplifying
b = -0.8
Subproblem 2
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
Solution
b = {-0.8, 4.5}