2c^2+17c=-36

Solution for 2c^2+17c=-36 equation:

Simplifying
2c2 + 17c = -36

Reorder the terms:
17c + 2c2 = -36

Solving
17c + 2c2 = -36

Solving for variable 'c'.

Reorder the terms:
36 + 17c + 2c2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + 17c + 2c2 = 0

Factor a trinomial.
(9 + 2c)(4 + c) = 0

Subproblem 1
Set the factor '(9 + 2c)' equal to zero and attempt to solve:

Simplifying
9 + 2c = 0

Solving
9 + 2c = 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 + 2c = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2c = 0 + -9
2c = 0 + -9

Combine like terms: 0 + -9 = -9
2c = -9

Divide each side by '2'.
c = -4.5

Simplifying
c = -4.5
Subproblem 2
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
Solution
c = {-4.5, -4}