Simplifying
c2 + 10c = 0
Reorder the terms:
10c + c2 = 0
Solving
10c + c2 = 0
Solving for variable 'c'.
Factor out the Greatest Common Factor (GCF), 'c'.
c(10 + c) = 0
Subproblem 1Set 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 2Set the factor '(10 + c)' equal to zero and attempt to solve:
Simplifying
10 + c = 0
Solving
10 + c = 0
Move all terms containing c to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + c = 0 + -10
Combine like terms: 10 + -10 = 0
0 + c = 0 + -10
c = 0 + -10
Combine like terms: 0 + -10 = -10
c = -10
Simplifying
c = -10Solutionc = {0, -10}
