10b^2-31b-36=

Solution for 10b^2-31b-36= equation:

Simplifying
10b2 + -31b + -36 = 0

Reorder the terms:
-36 + -31b + 10b2 = 0

Solving
-36 + -31b + 10b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-9 + -10b)(4 + -1b) = 0

Subproblem 1
Set the factor '(-9 + -10b)' equal to zero and attempt to solve:

Simplifying
-9 + -10b = 0

Solving
-9 + -10b = 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 + -10b = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -10b = 0 + 9
-10b = 0 + 9

Combine like terms: 0 + 9 = 9
-10b = 9

Divide each side by '-10'.
b = -0.9

Simplifying
b = -0.9
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 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 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-0.9, 4}