10c^2(5c^3-8)=0

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Solution for 10c^2(5c^3-8)=0 equation: 


Simplifying
10c2(5c3 + -8) = 0

Reorder the terms:
10c2(-8 + 5c3) = 0
(-8 * 10c2 + 5c3 * 10c2) = 0
(-80c2 + 50c5) = 0

Solving
-80c2 + 50c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '10c2'.
10c2(-8 + 5c3) = 0

Ignore the factor 10.

Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve:

Simplifying
c2 = 0

Solving
c2 = 0

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

Simplifying
c2 = 0

Take the square root of each side:
c = {0}

Subproblem 2
Set the factor '(-8 + 5c3)' equal to zero and attempt to solve:

Simplifying
-8 + 5c3 = 0

Solving
-8 + 5c3 = 0

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

Add '8' to each side of the equation.
-8 + 8 + 5c3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5c3 = 0 + 8
5c3 = 0 + 8

Combine like terms: 0 + 8 = 8
5c3 = 8

Divide each side by '5'.
c3 = 1.6

Simplifying
c3 = 1.6

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
c = {0}

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