10c+c(c-4)=

Solution for 10c+c(c-4)= equation:

Simplifying
10c + c(c + -4) = 0

Reorder the terms:
10c + c(-4 + c) = 0
10c + (-4 * c + c * c) = 0
10c + (-4c + c2) = 0

Combine like terms: 10c + -4c = 6c
6c + c2 = 0

Solving
6c + c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(6 + c) = 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 '(6 + c)' equal to zero and attempt to solve:

Simplifying
6 + c = 0

Solving
6 + c = 0

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

Add '-6' to each side of the equation.
6 + -6 + c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + c = 0 + -6
c = 0 + -6

Combine like terms: 0 + -6 = -6
c = -6

Simplifying
c = -6
Solution
c = {0, -6}