5c(4c-6)=20c-30c

Solution for 5c(4c-6)=20c-30c equation:

Simplifying
5c(4c + -6) = 20c + -30c

Reorder the terms:
5c(-6 + 4c) = 20c + -30c
(-6 * 5c + 4c * 5c) = 20c + -30c
(-30c + 20c2) = 20c + -30c

Combine like terms: 20c + -30c = -10c
-30c + 20c2 = -10c

Solving
-30c + 20c2 = -10c

Solving for variable 'c'.

Reorder the terms:
-30c + 10c + 20c2 = -10c + 10c

Combine like terms: -30c + 10c = -20c
-20c + 20c2 = -10c + 10c

Combine like terms: -10c + 10c = 0
-20c + 20c2 = 0

Factor out the Greatest Common Factor (GCF), '20c'.
20c(-1 + c) = 0

Ignore the factor 20.
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 '(-1 + c)' equal to zero and attempt to solve:

Simplifying
-1 + c = 0

Solving
-1 + c = 0

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

Add '1' to each side of the equation.
-1 + 1 + c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + c = 0 + 1
c = 0 + 1

Combine like terms: 0 + 1 = 1
c = 1

Simplifying
c = 1
Solution
c = {0, 1}