(c-4d)(2c-d)=

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Solution for (c-4d)(2c-d)= equation: 


Simplifying
(c + -4d)(2c + -1d) = 0

Multiply (c + -4d) * (2c + -1d)
(c(2c + -1d) + -4d * (2c + -1d)) = 0
((2c * c + -1d * c) + -4d * (2c + -1d)) = 0

Reorder the terms:
((-1cd + 2c2) + -4d * (2c + -1d)) = 0
((-1cd + 2c2) + -4d * (2c + -1d)) = 0
(-1cd + 2c2 + (2c * -4d + -1d * -4d)) = 0
(-1cd + 2c2 + (-8cd + 4d2)) = 0

Reorder the terms:
(-1cd + -8cd + 2c2 + 4d2) = 0

Combine like terms: -1cd + -8cd = -9cd
(-9cd + 2c2 + 4d2) = 0

Solving
-9cd + 2c2 + 4d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -4d)(2c + -1d) = 0


Subproblem 1
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

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

Simplifying
2c + -1d = 0

Solving
2c + -1d = 0

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

Add 'd' to each side of the equation.
2c + -1d + d = 0 + d

Combine like terms: -1d + d = 0
2c + 0 = 0 + d
2c = 0 + d
Remove the zero:
2c = d

Divide each side by '2'.
c = 0.5d

Simplifying
c = 0.5d
Solution
c = {4d, 0.5d}

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