16b^2-60b-100=0

Solution for 16b^2-60b-100=0 equation:

Simplifying
16b2 + -60b + -100 = 0

Reorder the terms:
-100 + -60b + 16b2 = 0

Solving
-100 + -60b + 16b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-25 + -15b + 4b2) = 0

Factor a trinomial.
4((-5 + -4b)(5 + -1b)) = 0

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

Simplifying
-5 + -4b = 0

Solving
-5 + -4b = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4b = 0 + 5

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

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

Divide each side by '-4'.
b = -1.25

Simplifying
b = -1.25
Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {-1.25, 5}