6c^2-7cd-3d^2=

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Solution for 6c^2-7cd-3d^2= equation: 


Simplifying
6c2 + -7cd + -3d2 = 0

Reorder the terms:
-7cd + 6c2 + -3d2 = 0

Solving
-7cd + 6c2 + -3d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(2c + -3d)(3c + d) = 0


Subproblem 1
Set the factor '(2c + -3d)' equal to zero and attempt to solve:

Simplifying
2c + -3d = 0

Solving
2c + -3d = 0

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

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

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

Divide each side by '2'.
c = 1.5d

Simplifying
c = 1.5d

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

Simplifying
3c + d = 0

Solving
3c + d = 0

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

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

Combine like terms: d + -1d = 0
3c + 0 = 0 + -1d
3c = 0 + -1d
Remove the zero:
3c = -1d

Divide each side by '3'.
c = -0.3333333333d

Simplifying
c = -0.3333333333d
Solution
c = {1.5d, -0.3333333333d}

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