5b^2-2b-16=0

Solution for 5b^2-2b-16=0 equation:

Simplifying
5b2 + -2b + -16 = 0

Reorder the terms:
-16 + -2b + 5b2 = 0

Solving
-16 + -2b + 5b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-8 + -5b)(2 + -1b) = 0

Subproblem 1
Set the factor '(-8 + -5b)' equal to zero and attempt to solve:

Simplifying
-8 + -5b = 0

Solving
-8 + -5b = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5b = 0 + 8
-5b = 0 + 8

Combine like terms: 0 + 8 = 8
-5b = 8

Divide each side by '-5'.
b = -1.6

Simplifying
b = -1.6
Subproblem 2
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
Solution
b = {-1.6, 2}