c^2+5c=5c+16

Solution for c^2+5c=5c+16 equation:

Simplifying
c2 + 5c = 5c + 16

Reorder the terms:
5c + c2 = 5c + 16

Reorder the terms:
5c + c2 = 16 + 5c

Add '-5c' to each side of the equation.
5c + -5c + c2 = 16 + 5c + -5c

Combine like terms: 5c + -5c = 0
0 + c2 = 16 + 5c + -5c
c2 = 16 + 5c + -5c

Combine like terms: 5c + -5c = 0
c2 = 16 + 0
c2 = 16

Solving
c2 = 16

Solving for variable 'c'.

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

Simplifying
c2 = 16

Take the square root of each side:
c = {-4, 4}