c^2+35c=0

Solution for c^2+35c=0 equation:

Simplifying
c2 + 35c = 0

Reorder the terms:
35c + c2 = 0

Solving
35c + c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(35 + 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 '(35 + c)' equal to zero and attempt to solve:

Simplifying
35 + c = 0

Solving
35 + c = 0

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

Add '-35' to each side of the equation.
35 + -35 + c = 0 + -35

Combine like terms: 35 + -35 = 0
0 + c = 0 + -35
c = 0 + -35

Combine like terms: 0 + -35 = -35
c = -35

Simplifying
c = -35
Solution
c = {0, -35}