18c^2-33cr+14r^2=0

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Solution for 18c^2-33cr+14r^2=0 equation:


Simplifying
18c2 + -33cr + 14r2 = 0

Reorder the terms:
-33cr + 18c2 + 14r2 = 0

Solving
-33cr + 18c2 + 14r2 = 0

Solving for variable 'c'.

Factor a trinomial.
(6c + -7r)(3c + -2r) = 0


Subproblem 1
Set the factor '(6c + -7r)' equal to zero and attempt to solve:

Simplifying
6c + -7r = 0

Solving
6c + -7r = 0

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

Add '7r' to each side of the equation.
6c + -7r + 7r = 0 + 7r

Combine like terms: -7r + 7r = 0
6c + 0 = 0 + 7r
6c = 0 + 7r
Remove the zero:
6c = 7r

Divide each side by '6'.
c = 1.166666667r

Simplifying
c = 1.166666667r

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

Simplifying
3c + -2r = 0

Solving
3c + -2r = 0

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

Add '2r' to each side of the equation.
3c + -2r + 2r = 0 + 2r

Combine like terms: -2r + 2r = 0
3c + 0 = 0 + 2r
3c = 0 + 2r
Remove the zero:
3c = 2r

Divide each side by '3'.
c = 0.6666666667r

Simplifying
c = 0.6666666667r
Solution
c = {1.166666667r, 0.6666666667r}

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