c^2-7cd+6d^2=0

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Solution for c^2-7cd+6d^2=0 equation: 


Simplifying
c2 + -7cd + 6d2 = 0

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

Solving
-7cd + c2 + 6d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -6d)(c + -1d) = 0


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

Simplifying
c + -6d = 0

Solving
c + -6d = 0

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

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

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

Simplifying
c = 6d

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

Simplifying
c + -1d = 0

Solving
c + -1d = 0

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

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

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

Simplifying
c = d
Solution
c = {6d, d}

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