36-14c-2c^2=

Solution for 36-14c-2c^2= equation:

Simplifying
36 + -14c + -2c2 = 0

Solving
36 + -14c + -2c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -7c + -1c2) = 0

Factor a trinomial.
2((2 + -1c)(9 + c)) = 0

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

Simplifying
2 + -1c = 0

Solving
2 + -1c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c = 0 + -2
-1c = 0 + -2

Combine like terms: 0 + -2 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2
Subproblem 2
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
Solution
c = {2, -9}