0=b^2+8b-20

Solution for 0=b^2+8b-20 equation:

Simplifying
0 = b2 + 8b + -20

Reorder the terms:
0 = -20 + 8b + b2

Solving
0 = -20 + 8b + b2

Solving for variable 'b'.

Combine like terms: 0 + 20 = 20
20 + -8b + -1b2 = -20 + 8b + b2 + 20 + -8b + -1b2

Reorder the terms:
20 + -8b + -1b2 = -20 + 20 + 8b + -8b + b2 + -1b2

Combine like terms: -20 + 20 = 0
20 + -8b + -1b2 = 0 + 8b + -8b + b2 + -1b2
20 + -8b + -1b2 = 8b + -8b + b2 + -1b2

Combine like terms: 8b + -8b = 0
20 + -8b + -1b2 = 0 + b2 + -1b2
20 + -8b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
20 + -8b + -1b2 = 0

Factor a trinomial.
(2 + -1b)(10 + b) = 0

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

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Subproblem 2
Set the factor '(10 + b)' equal to zero and attempt to solve:

Simplifying
10 + b = 0

Solving
10 + b = 0

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

Add '-10' to each side of the equation.
10 + -10 + b = 0 + -10

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

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

Simplifying
b = -10
Solution
b = {2, -10}