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

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

Simplifying
-8c3(3c2 + 2c + -9) = 0

Reorder the terms:
-8c3(-9 + 2c + 3c2) = 0
(-9 * -8c3 + 2c * -8c3 + 3c2 * -8c3) = 0
(72c3 + -16c4 + -24c5) = 0

Solving
72c3 + -16c4 + -24c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '8c3'.
8c3(9 + -2c + -3c2) = 0

Ignore the factor 8.
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 '(9 + -2c + -3c2)' equal to zero and attempt to solve:

Simplifying
9 + -2c + -3c2 = 0

Solving
9 + -2c + -3c2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
-3 + 0.6666666667c + c2 = 0

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + 0.6666666667c + 3 + c2 = 0 + 3

Reorder the terms:
-3 + 3 + 0.6666666667c + c2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 0.6666666667c + c2 = 0 + 3
0.6666666667c + c2 = 0 + 3

Combine like terms: 0 + 3 = 3
0.6666666667c + c2 = 3

The c term is 0.6666666667c.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667c + 0.1111111112 + c2 = 3 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667c + c2 = 3 + 0.1111111112

Combine like terms: 3 + 0.1111111112 = 3.1111111112
0.1111111112 + 0.6666666667c + c2 = 3.1111111112

Factor a perfect square on the left side:
(c + 0.3333333334)(c + 0.3333333334) = 3.1111111112

Calculate the square root of the right side: 1.763834207

Break this problem into two subproblems by setting 
(c + 0.3333333334) equal to 1.763834207 and -1.763834207.

Subproblem 1
c + 0.3333333334 = 1.763834207

Simplifying
c + 0.3333333334 = 1.763834207

Reorder the terms:
0.3333333334 + c = 1.763834207

Solving
0.3333333334 + c = 1.763834207

Solving for variable 'c'.

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

Add '-0.3333333334' to each side of the equation.
0.3333333334 + -0.3333333334 + c = 1.763834207 + -0.3333333334

Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000
0.0000000000 + c = 1.763834207 + -0.3333333334
c = 1.763834207 + -0.3333333334

Combine like terms: 1.763834207 + -0.3333333334 = 1.4305008736
c = 1.4305008736

Simplifying
c = 1.4305008736

Subproblem 2
c + 0.3333333334 = -1.763834207

Simplifying
c + 0.3333333334 = -1.763834207

Reorder the terms:
0.3333333334 + c = -1.763834207

Solving
0.3333333334 + c = -1.763834207

Solving for variable 'c'.

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

Add '-0.3333333334' to each side of the equation.
0.3333333334 + -0.3333333334 + c = -1.763834207 + -0.3333333334

Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000
0.0000000000 + c = -1.763834207 + -0.3333333334
c = -1.763834207 + -0.3333333334

Combine like terms: -1.763834207 + -0.3333333334 = -2.0971675404
c = -2.0971675404

Simplifying
c = -2.0971675404

Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {1.4305008736, -2.0971675404}
Solution
c = {1.4305008736, -2.0971675404}