8cr^2-30cr+18c=0

Solution for 8cr^2-30cr+18c=0 equation:

Simplifying
8cr2 + -30cr + 18c = 0

Reorder the terms:
18c + -30cr + 8cr2 = 0

Solving
18c + -30cr + 8cr2 = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), '2c'.
2c(9 + -15r + 4r2) = 0

Factor a trinomial.
2c((3 + -4r)(3 + -1r)) = 0

Ignore the factor 2.
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 '(3 + -4r)' equal to zero and attempt to solve:

Simplifying
3 + -4r = 0

Solving
3 + -4r = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4r = 0 + -3
-4r = 0 + -3

Combine like terms: 0 + -3 = -3
-4r = -3

Add '4r' to each side of the equation.
-4r + 4r = -3 + 4r

Combine like terms: -4r + 4r = 0
0 = -3 + 4r

Simplifying
0 = -3 + 4r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(3 + -1r)' equal to zero and attempt to solve:

Simplifying
3 + -1r = 0

Solving
3 + -1r = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1r = 0 + -3
-1r = 0 + -3

Combine like terms: 0 + -3 = -3
-1r = -3

Add 'r' to each side of the equation.
-1r + r = -3 + r

Combine like terms: -1r + r = 0
0 = -3 + r

Simplifying
0 = -3 + r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
c = {0}