(4c-8d)(4c-8d)(4c-8d)=

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Solution for (4c-8d)(4c-8d)(4c-8d)= equation: 


Simplifying
(4c + -8d)(4c + -8d)(4c + -8d) = 0

Multiply (4c + -8d) * (4c + -8d)
(4c * (4c + -8d) + -8d * (4c + -8d))(4c + -8d) = 0
((4c * 4c + -8d * 4c) + -8d * (4c + -8d))(4c + -8d) = 0

Reorder the terms:
((-32cd + 16c2) + -8d * (4c + -8d))(4c + -8d) = 0
((-32cd + 16c2) + -8d * (4c + -8d))(4c + -8d) = 0
(-32cd + 16c2 + (4c * -8d + -8d * -8d))(4c + -8d) = 0
(-32cd + 16c2 + (-32cd + 64d2))(4c + -8d) = 0

Reorder the terms:
(-32cd + -32cd + 16c2 + 64d2)(4c + -8d) = 0

Combine like terms: -32cd + -32cd = -64cd
(-64cd + 16c2 + 64d2)(4c + -8d) = 0

Multiply (-64cd + 16c2 + 64d2) * (4c + -8d)
(-64cd * (4c + -8d) + 16c2 * (4c + -8d) + 64d2 * (4c + -8d)) = 0
((4c * -64cd + -8d * -64cd) + 16c2 * (4c + -8d) + 64d2 * (4c + -8d)) = 0

Reorder the terms:
((512cd2 + -256c2d) + 16c2 * (4c + -8d) + 64d2 * (4c + -8d)) = 0
((512cd2 + -256c2d) + 16c2 * (4c + -8d) + 64d2 * (4c + -8d)) = 0
(512cd2 + -256c2d + (4c * 16c2 + -8d * 16c2) + 64d2 * (4c + -8d)) = 0

Reorder the terms:
(512cd2 + -256c2d + (-128c2d + 64c3) + 64d2 * (4c + -8d)) = 0
(512cd2 + -256c2d + (-128c2d + 64c3) + 64d2 * (4c + -8d)) = 0
(512cd2 + -256c2d + -128c2d + 64c3 + (4c * 64d2 + -8d * 64d2)) = 0
(512cd2 + -256c2d + -128c2d + 64c3 + (256cd2 + -512d3)) = 0

Reorder the terms:
(512cd2 + 256cd2 + -256c2d + -128c2d + 64c3 + -512d3) = 0

Combine like terms: 512cd2 + 256cd2 = 768cd2
(768cd2 + -256c2d + -128c2d + 64c3 + -512d3) = 0

Combine like terms: -256c2d + -128c2d = -384c2d
(768cd2 + -384c2d + 64c3 + -512d3) = 0

Solving
768cd2 + -384c2d + 64c3 + -512d3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '64'.
64(12cd2 + -6c2d + c3 + -8d3) = 0

Ignore the factor 64.

Subproblem 1
Set the factor '(12cd2 + -6c2d + c3 + -8d3)' equal to zero and attempt to solve:

Simplifying
12cd2 + -6c2d + c3 + -8d3 = 0

Solving
12cd2 + -6c2d + c3 + -8d3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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