4b(b-2)=60

Solution for 4b(b-2)=60 equation:

Simplifying
4b(b + -2) = 60

Reorder the terms:
4b(-2 + b) = 60
(-2 * 4b + b * 4b) = 60
(-8b + 4b2) = 60

Solving
-8b + 4b2 = 60

Solving for variable 'b'.

Reorder the terms:
-60 + -8b + 4b2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -8b + 4b2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -2b + b2) = 0

Factor a trinomial.
4((-3 + -1b)(5 + -1b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-3 + -1b)' equal to zero and attempt to solve:

Simplifying
-3 + -1b = 0

Solving
-3 + -1b = 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 + -1b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1b = 0 + 3
-1b = 0 + 3

Combine like terms: 0 + 3 = 3
-1b = 3

Divide each side by '-1'.
b = -3

Simplifying
b = -3
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 = {-3, 5}