6c^4d^3-24c^2d^9=

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Solution for 6c^4d^3-24c^2d^9= equation: 


Simplifying
6c4d3 + -24c2d9 = 0

Reorder the terms:
-24c2d9 + 6c4d3 = 0

Solving
-24c2d9 + 6c4d3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '6c2d3'.
6c2d3(-4d6 + c2) = 0

Factor a difference between two squares.
6c2d3((2d3 + c)(-2d3 + c)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'c2d3' equal to zero and attempt to solve:

Simplifying
c2d3 = 0

Solving
c2d3 = 0

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

Simplifying
c2d3 = 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 '(2d3 + c)' equal to zero and attempt to solve:

Simplifying
2d3 + c = 0

Reorder the terms:
c + 2d3 = 0

Solving
c + 2d3 = 0

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

Add '-2d3' to each side of the equation.
c + 2d3 + -2d3 = 0 + -2d3

Combine like terms: 2d3 + -2d3 = 0
c + 0 = 0 + -2d3
c = 0 + -2d3
Remove the zero:
c = -2d3

Simplifying
c = -2d3

Subproblem 3
Set the factor '(-2d3 + c)' equal to zero and attempt to solve:

Simplifying
-2d3 + c = 0

Reorder the terms:
c + -2d3 = 0

Solving
c + -2d3 = 0

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

Add '2d3' to each side of the equation.
c + -2d3 + 2d3 = 0 + 2d3

Combine like terms: -2d3 + 2d3 = 0
c + 0 = 0 + 2d3
c = 0 + 2d3
Remove the zero:
c = 2d3

Simplifying
c = 2d3
Solution
c = {-2d3, 2d3}

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