C^2+C-420=0

Solution for C^2+C-420=0 equation:

Simplifying
C2 + C + -420 = 0

Reorder the terms:
-420 + C + C2 = 0

Solving
-420 + C + C2 = 0

Solving for variable 'C'.

Factor a trinomial.
(-21 + -1C)(20 + -1C) = 0

Subproblem 1
Set the factor '(-21 + -1C)' equal to zero and attempt to solve:

Simplifying
-21 + -1C = 0

Solving
-21 + -1C = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1C = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1C = 0 + 21
-1C = 0 + 21

Combine like terms: 0 + 21 = 21
-1C = 21

Divide each side by '-1'.
C = -21

Simplifying
C = -21
Subproblem 2
Set the factor '(20 + -1C)' equal to zero and attempt to solve:

Simplifying
20 + -1C = 0

Solving
20 + -1C = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1C = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1C = 0 + -20
-1C = 0 + -20

Combine like terms: 0 + -20 = -20
-1C = -20

Divide each side by '-1'.
C = 20

Simplifying
C = 20
Solution
C = {-21, 20}