c^2-20c-69=0

Solution for c^2-20c-69=0 equation:

Simplifying
c2 + -20c + -69 = 0

Reorder the terms:
-69 + -20c + c2 = 0

Solving
-69 + -20c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-3 + -1c)(23 + -1c) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(23 + -1c)' equal to zero and attempt to solve:

Simplifying
23 + -1c = 0

Solving
23 + -1c = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1c = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1c = 0 + -23
-1c = 0 + -23

Combine like terms: 0 + -23 = -23
-1c = -23

Divide each side by '-1'.
c = 23

Simplifying
c = 23
Solution
c = {-3, 23}