20b^2+31b+10=-2

Solution for 20b^2+31b+10=-2 equation:

Simplifying
20b2 + 31b + 10 = -2

Reorder the terms:
10 + 31b + 20b2 = -2

Solving
10 + 31b + 20b2 = -2

Solving for variable 'b'.

Reorder the terms:
10 + 2 + 31b + 20b2 = -2 + 2

Combine like terms: 10 + 2 = 12
12 + 31b + 20b2 = -2 + 2

Combine like terms: -2 + 2 = 0
12 + 31b + 20b2 = 0

Factor a trinomial.
(4 + 5b)(3 + 4b) = 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 '(3 + 4b)' equal to zero and attempt to solve:

Simplifying
3 + 4b = 0

Solving
3 + 4b = 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 + 4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4b = 0 + -3
4b = 0 + -3

Combine like terms: 0 + -3 = -3
4b = -3

Divide each side by '4'.
b = -0.75

Simplifying
b = -0.75
Solution
b = {-0.8, -0.75}