2c(c-5)=c

Solution for 2c(c-5)=c equation:

Simplifying
2c(c + -5) = c

Reorder the terms:
2c(-5 + c) = c
(-5 * 2c + c * 2c) = c
(-10c + 2c2) = c

Solving
-10c + 2c2 = c

Solving for variable 'c'.

Reorder the terms:
-10c + -1c + 2c2 = c + -1c

Combine like terms: -10c + -1c = -11c
-11c + 2c2 = c + -1c

Combine like terms: c + -1c = 0
-11c + 2c2 = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(-11 + 2c) = 0

Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0
Subproblem 2
Set the factor '(-11 + 2c)' equal to zero and attempt to solve:

Simplifying
-11 + 2c = 0

Solving
-11 + 2c = 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 + 2c = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 2c = 0 + 11
2c = 0 + 11

Combine like terms: 0 + 11 = 11
2c = 11

Divide each side by '2'.
c = 5.5

Simplifying
c = 5.5
Solution
c = {0, 5.5}