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

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

Simplifying
3c2(2c2 + -4c + 3) = 0

Reorder the terms:
3c2(3 + -4c + 2c2) = 0
(3 * 3c2 + -4c * 3c2 + 2c2 * 3c2) = 0
(9c2 + -12c3 + 6c4) = 0

Solving
9c2 + -12c3 + 6c4 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3c2'.
3c2(3 + -4c + 2c2) = 0

Ignore the factor 3.
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 '(3 + -4c + 2c2)' equal to zero and attempt to solve:

Simplifying
3 + -4c + 2c2 = 0

Solving
3 + -4c + 2c2 = 0

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

Divide each side by '2'.
1.5 + -2c + c2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -2c + -1.5 + c2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -2c + c2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2c + c2 = 0 + -1.5
-2c + c2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-2c + c2 = -1.5

The c term is -2c.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2c + 1 + c2 = -1.5 + 1

Reorder the terms:
1 + -2c + c2 = -1.5 + 1

Combine like terms: -1.5 + 1 = -0.5
1 + -2c + c2 = -0.5

Factor a perfect square on the left side:
(c + -1)(c + -1) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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