c^2+4c-60=0

Solution for c^2+4c-60=0 equation:

Simplifying
c2 + 4c + -60 = 0

Reorder the terms:
-60 + 4c + c2 = 0

Solving
-60 + 4c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-10 + -1c)(6 + -1c) = 0

Subproblem 1
Set the factor '(-10 + -1c)' equal to zero and attempt to solve:

Simplifying
-10 + -1c = 0

Solving
-10 + -1c = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1c = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1c = 0 + 10
-1c = 0 + 10

Combine like terms: 0 + 10 = 10
-1c = 10

Divide each side by '-1'.
c = -10

Simplifying
c = -10
Subproblem 2
Set the factor '(6 + -1c)' equal to zero and attempt to solve:

Simplifying
6 + -1c = 0

Solving
6 + -1c = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1c = 0 + -6
-1c = 0 + -6

Combine like terms: 0 + -6 = -6
-1c = -6

Divide each side by '-1'.
c = 6

Simplifying
c = 6
Solution
c = {-10, 6}