6cr^2-27cr-135c=0

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Solution for 6cr^2-27cr-135c=0 equation: 


Simplifying
6cr2 + -27cr + -135c = 0

Reorder the terms:
-135c + -27cr + 6cr2 = 0

Solving
-135c + -27cr + 6cr2 = 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), '3c'.
3c(-45 + -9r + 2r2) = 0

Factor a trinomial.
3c((-3 + -1r)(15 + -2r)) = 0

Ignore the factor 3.

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 + -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.

Subproblem 3
Set the factor '(15 + -2r)' equal to zero and attempt to solve:

Simplifying
15 + -2r = 0

Solving
15 + -2r = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2r = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2r = 0 + -15
-2r = 0 + -15

Combine like terms: 0 + -15 = -15
-2r = -15

Add '2r' to each side of the equation.
-2r + 2r = -15 + 2r

Combine like terms: -2r + 2r = 0
0 = -15 + 2r

Simplifying
0 = -15 + 2r

The solution to this equation could not be determined.

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

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