-2c^3(c^2-4c^1+2)=

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Solution for -2c^3(c^2-4c^1+2)= equation: 


Simplifying
-2c3(c2 + -4c + 2) = 0

Reorder the terms:
-2c3(2 + -4c + c2) = 0
(2 * -2c3 + -4c * -2c3 + c2 * -2c3) = 0
(-4c3 + 8c4 + -2c5) = 0

Solving
-4c3 + 8c4 + -2c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c3'.
2c3(-2 + 4c + -1c2) = 0

Ignore the factor 2.

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 '(-2 + 4c + -1c2)' equal to zero and attempt to solve:

Simplifying
-2 + 4c + -1c2 = 0

Solving
-2 + 4c + -1c2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2 + -4c + c2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -4c + -2 + c2 = 0 + -2

Reorder the terms:
2 + -2 + -4c + c2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -4c + c2 = 0 + -2
-4c + c2 = 0 + -2

Combine like terms: 0 + -2 = -2
-4c + c2 = -2

The c term is -4c.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4c + 4 + c2 = -2 + 4

Reorder the terms:
4 + -4c + c2 = -2 + 4

Combine like terms: -2 + 4 = 2
4 + -4c + c2 = 2

Factor a perfect square on the left side:
(c + -2)(c + -2) = 2

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting 
(c + -2) equal to 1.414213562 and -1.414213562.


Subproblem 1
c + -2 = 1.414213562

Simplifying
c + -2 = 1.414213562

Reorder the terms:
-2 + c = 1.414213562

Solving
-2 + c = 1.414213562

Solving for variable 'c'.

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

Add '2' to each side of the equation.
-2 + 2 + c = 1.414213562 + 2

Combine like terms: -2 + 2 = 0
0 + c = 1.414213562 + 2
c = 1.414213562 + 2

Combine like terms: 1.414213562 + 2 = 3.414213562
c = 3.414213562

Simplifying
c = 3.414213562


Subproblem 2
c + -2 = -1.414213562

Simplifying
c + -2 = -1.414213562

Reorder the terms:
-2 + c = -1.414213562

Solving
-2 + c = -1.414213562

Solving for variable 'c'.

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

Add '2' to each side of the equation.
-2 + 2 + c = -1.414213562 + 2

Combine like terms: -2 + 2 = 0
0 + c = -1.414213562 + 2
c = -1.414213562 + 2

Combine like terms: -1.414213562 + 2 = 0.585786438
c = 0.585786438

Simplifying
c = 0.585786438


Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {3.414213562, 0.585786438}
Solution
c = {3.414213562, 0.585786438}

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