(C-4D)(D-2C)=

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Solution for (C-4D)(D-2C)= equation: 


Simplifying
(C + -4D)(D + -2C) = 0

Reorder the terms:
(C + -4D)(-2C + D) = 0

Multiply (C + -4D) * (-2C + D)
(C(-2C + D) + -4D * (-2C + D)) = 0
((-2C * C + D * C) + -4D * (-2C + D)) = 0

Reorder the terms:
((CD + -2C2) + -4D * (-2C + D)) = 0
((CD + -2C2) + -4D * (-2C + D)) = 0
(CD + -2C2 + (-2C * -4D + D * -4D)) = 0
(CD + -2C2 + (8CD + -4D2)) = 0

Reorder the terms:
(CD + 8CD + -2C2 + -4D2) = 0

Combine like terms: CD + 8CD = 9CD
(9CD + -2C2 + -4D2) = 0

Solving
9CD + -2C2 + -4D2 = 0

Solving for variable 'C'.

Factor a trinomial.
(-2C + D)(C + -4D) = 0


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

Simplifying
-2C + D = 0

Solving
-2C + D = 0

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

Add '-1D' to each side of the equation.
-2C + D + -1D = 0 + -1D

Combine like terms: D + -1D = 0
-2C + 0 = 0 + -1D
-2C = 0 + -1D
Remove the zero:
-2C = -1D

Divide each side by '-2'.
C = 0.5D

Simplifying
C = 0.5D

Subproblem 2
Set the factor '(C + -4D)' equal to zero and attempt to solve:

Simplifying
C + -4D = 0

Solving
C + -4D = 0

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

Add '4D' to each side of the equation.
C + -4D + 4D = 0 + 4D

Combine like terms: -4D + 4D = 0
C + 0 = 0 + 4D
C = 0 + 4D
Remove the zero:
C = 4D

Simplifying
C = 4D
Solution
C = {0.5D, 4D}

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