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

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


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

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

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

Solving for variable 'c'.
Remove the zero:
7cd + -6c2 + 3d2 = -7cd + 6c2 + -3d2 + 7cd + -6c2 + 3d2

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

Combine like terms: -7cd + 7cd = 0
7cd + -6c2 + 3d2 = 0 + 6c2 + -6c2 + -3d2 + 3d2
7cd + -6c2 + 3d2 = 6c2 + -6c2 + -3d2 + 3d2

Combine like terms: 6c2 + -6c2 = 0
7cd + -6c2 + 3d2 = 0 + -3d2 + 3d2
7cd + -6c2 + 3d2 = -3d2 + 3d2

Combine like terms: -3d2 + 3d2 = 0
7cd + -6c2 + 3d2 = 0

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


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

Simplifying
-3c + -1d = 0

Solving
-3c + -1d = 0

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

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

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

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

Simplifying
c = -0.3333333333d

Subproblem 2
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
Solution
c = {-0.3333333333d, 1.5d}

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