0=5c^2-35c+60

Solution for 0=5c^2-35c+60 equation:

Simplifying
0 = 5c2 + -35c + 60

Reorder the terms:
0 = 60 + -35c + 5c2

Solving
0 = 60 + -35c + 5c2

Solving for variable 'c'.

Combine like terms: 0 + -60 = -60
-60 + 35c + -5c2 = 60 + -35c + 5c2 + -60 + 35c + -5c2

Reorder the terms:
-60 + 35c + -5c2 = 60 + -60 + -35c + 35c + 5c2 + -5c2

Combine like terms: 60 + -60 = 0
-60 + 35c + -5c2 = 0 + -35c + 35c + 5c2 + -5c2
-60 + 35c + -5c2 = -35c + 35c + 5c2 + -5c2

Combine like terms: -35c + 35c = 0
-60 + 35c + -5c2 = 0 + 5c2 + -5c2
-60 + 35c + -5c2 = 5c2 + -5c2

Combine like terms: 5c2 + -5c2 = 0
-60 + 35c + -5c2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + 7c + -1c2) = 0

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

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

Simplifying
-4 + c = 0

Solving
-4 + c = 0

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

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

Combine like terms: -4 + 4 = 0
0 + c = 0 + 4
c = 0 + 4

Combine like terms: 0 + 4 = 4
c = 4

Simplifying
c = 4
Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1c = 0 + -3

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

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

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

Simplifying
c = 3
Solution
c = {4, 3}