5b^2-60=5b

Solution for 5b^2-60=5b equation:

Simplifying
5b2 + -60 = 5b

Reorder the terms:
-60 + 5b2 = 5b

Solving
-60 + 5b2 = 5b

Solving for variable 'b'.

Reorder the terms:
-60 + -5b + 5b2 = 5b + -5b

Combine like terms: 5b + -5b = 0
-60 + -5b + 5b2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + -1b + b2) = 0

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

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

Simplifying
4 + -1b = 0

Solving
4 + -1b = 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 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-3, 4}