4c(5c+6)=

Solution for 4c(5c+6)= equation:

Simplifying
4c(5c + 6) = 0

Reorder the terms:
4c(6 + 5c) = 0
(6 * 4c + 5c * 4c) = 0
(24c + 20c2) = 0

Solving
24c + 20c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4c'.
4c(6 + 5c) = 0

Ignore the factor 4.
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 + 5c)' equal to zero and attempt to solve:

Simplifying
6 + 5c = 0

Solving
6 + 5c = 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 + 5c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5c = 0 + -6
5c = 0 + -6

Combine like terms: 0 + -6 = -6
5c = -6

Divide each side by '5'.
c = -1.2

Simplifying
c = -1.2
Solution
c = {0, -1.2}