c^2+17c=-72

Solution for c^2+17c=-72 equation:

Simplifying
c2 + 17c = -72

Reorder the terms:
17c + c2 = -72

Solving
17c + c2 = -72

Solving for variable 'c'.

Reorder the terms:
72 + 17c + c2 = -72 + 72

Combine like terms: -72 + 72 = 0
72 + 17c + c2 = 0

Factor a trinomial.
(9 + c)(8 + c) = 0

Subproblem 1
Set the factor '(9 + c)' equal to zero and attempt to solve:

Simplifying
9 + c = 0

Solving
9 + c = 0

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

Add '-9' to each side of the equation.
9 + -9 + c = 0 + -9

Combine like terms: 9 + -9 = 0
0 + c = 0 + -9
c = 0 + -9

Combine like terms: 0 + -9 = -9
c = -9

Simplifying
c = -9
Subproblem 2
Set the factor '(8 + c)' equal to zero and attempt to solve:

Simplifying
8 + c = 0

Solving
8 + c = 0

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

Add '-8' to each side of the equation.
8 + -8 + c = 0 + -8

Combine like terms: 8 + -8 = 0
0 + c = 0 + -8
c = 0 + -8

Combine like terms: 0 + -8 = -8
c = -8

Simplifying
c = -8
Solution
c = {-9, -8}