2c+99=c^2

Solution for 2c+99=c^2 equation:

Simplifying
2c + 99 = c2

Reorder the terms:
99 + 2c = c2

Solving
99 + 2c = c2

Solving for variable 'c'.

Combine like terms: c2 + -1c2 = 0
99 + 2c + -1c2 = 0

Factor a trinomial.
(11 + -1c)(9 + c) = 0

Subproblem 1
Set the factor '(11 + -1c)' equal to zero and attempt to solve:

Simplifying
11 + -1c = 0

Solving
11 + -1c = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1c = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1c = 0 + -11
-1c = 0 + -11

Combine like terms: 0 + -11 = -11
-1c = -11

Divide each side by '-1'.
c = 11

Simplifying
c = 11
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 = {11, -9}