-5c^3(9c^2-8c-5)=

Solution for -5c^3(9c^2-8c-5)= equation:

Simplifying
-5c3(9c2 + -8c + -5) = 0

Reorder the terms:
-5c3(-5 + -8c + 9c2) = 0
(-5 * -5c3 + -8c * -5c3 + 9c2 * -5c3) = 0
(25c3 + 40c4 + -45c5) = 0

Solving
25c3 + 40c4 + -45c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5c3'.
5c3(5 + 8c + -9c2) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'c3' equal to zero and attempt to solve:

Simplifying
c3 = 0

Solving
c3 = 0

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

Simplifying
c3 = 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 '(5 + 8c + -9c2)' equal to zero and attempt to solve:

Simplifying
5 + 8c + -9c2 = 0

Solving
5 + 8c + -9c2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
-0.5555555556 + -0.8888888889c + c2 = 0

Move the constant term to the right:

Add '0.5555555556' to each side of the equation.
-0.5555555556 + -0.8888888889c + 0.5555555556 + c2 = 0 + 0.5555555556

Reorder the terms:
-0.5555555556 + 0.5555555556 + -0.8888888889c + c2 = 0 + 0.5555555556

Combine like terms: -0.5555555556 + 0.5555555556 = 0.0000000000
0.0000000000 + -0.8888888889c + c2 = 0 + 0.5555555556
-0.8888888889c + c2 = 0 + 0.5555555556

Combine like terms: 0 + 0.5555555556 = 0.5555555556
-0.8888888889c + c2 = 0.5555555556

The c term is -0.8888888889c.  Take half its coefficient (-0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
-0.8888888889c + 0.1975308642 + c2 = 0.5555555556 + 0.1975308642

Reorder the terms:
0.1975308642 + -0.8888888889c + c2 = 0.5555555556 + 0.1975308642

Combine like terms: 0.5555555556 + 0.1975308642 = 0.7530864198
0.1975308642 + -0.8888888889c + c2 = 0.7530864198

Factor a perfect square on the left side:
(c + -0.4444444445)(c + -0.4444444445) = 0.7530864198

Calculate the square root of the right side: 0.86780552

Break this problem into two subproblems by setting 
(c + -0.4444444445) equal to 0.86780552 and -0.86780552.

Subproblem 1
c + -0.4444444445 = 0.86780552

Simplifying
c + -0.4444444445 = 0.86780552

Reorder the terms:
-0.4444444445 + c = 0.86780552

Solving
-0.4444444445 + c = 0.86780552

Solving for variable 'c'.

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

Add '0.4444444445' to each side of the equation.
-0.4444444445 + 0.4444444445 + c = 0.86780552 + 0.4444444445

Combine like terms: -0.4444444445 + 0.4444444445 = 0.0000000000
0.0000000000 + c = 0.86780552 + 0.4444444445
c = 0.86780552 + 0.4444444445

Combine like terms: 0.86780552 + 0.4444444445 = 1.3122499645
c = 1.3122499645

Simplifying
c = 1.3122499645

Subproblem 2
c + -0.4444444445 = -0.86780552

Simplifying
c + -0.4444444445 = -0.86780552

Reorder the terms:
-0.4444444445 + c = -0.86780552

Solving
-0.4444444445 + c = -0.86780552

Solving for variable 'c'.

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

Add '0.4444444445' to each side of the equation.
-0.4444444445 + 0.4444444445 + c = -0.86780552 + 0.4444444445

Combine like terms: -0.4444444445 + 0.4444444445 = 0.0000000000
0.0000000000 + c = -0.86780552 + 0.4444444445
c = -0.86780552 + 0.4444444445

Combine like terms: -0.86780552 + 0.4444444445 = -0.4233610755
c = -0.4233610755

Simplifying
c = -0.4233610755

Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {1.3122499645, -0.4233610755}
Solution
c = {1.3122499645, -0.4233610755}