(4c^3d)(5cd^3e-7c^2d^2)(-8e^3)=0

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Solution for (4c^3d)(5cd^3e-7c^2d^2)(-8e^3)=0 equation: 


Simplifying
(4c3d)(5cd3e + -7c2d2)(-8e3) = 0

Remove parenthesis around (4c3d)
4c3d(5cd3e + -7c2d2)(-8e3) = 0

Remove parenthesis around (-8e3)
4c3d(5cd3e + -7c2d2) * -8e3 = 0

Reorder the terms for easier multiplication:
4 * -8c3d * e3(5cd3e + -7c2d2) = 0

Multiply 4 * -8
-32c3d * e3(5cd3e + -7c2d2) = 0

Multiply c3d * e3
-32c3de3(5cd3e + -7c2d2) = 0
(5cd3e * -32c3de3 + -7c2d2 * -32c3de3) = 0
(-160c4d4e4 + 224c5d3e3) = 0

Solving
-160c4d4e4 + 224c5d3e3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '32c4d3e3'.
32c4d3e3(-5de + 7c) = 0

Ignore the factor 32.

Subproblem 1
Set the factor 'c4d3e3' equal to zero and attempt to solve:

Simplifying
c4d3e3 = 0

Solving
c4d3e3 = 0

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

Simplifying
c4d3e3 = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(-5de + 7c)' equal to zero and attempt to solve:

Simplifying
-5de + 7c = 0

Reorder the terms:
7c + -5de = 0

Solving
7c + -5de = 0

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

Add '5de' to each side of the equation.
7c + -5de + 5de = 0 + 5de

Combine like terms: -5de + 5de = 0
7c + 0 = 0 + 5de
7c = 0 + 5de
Remove the zero:
7c = 5de

Divide each side by '7'.
c = 0.7142857143de

Simplifying
c = 0.7142857143de
Solution
c = {0.7142857143de}

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