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

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

Simplifying
-3x2(4x2 + -3x + 3) = 0

Reorder the terms:
-3x2(3 + -3x + 4x2) = 0
(3 * -3x2 + -3x * -3x2 + 4x2 * -3x2) = 0
(-9x2 + 9x3 + -12x4) = 0

Solving
-9x2 + 9x3 + -12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-3 + 3x + -4x2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-3 + 3x + -4x2)' equal to zero and attempt to solve:

Simplifying
-3 + 3x + -4x2 = 0

Solving
-3 + 3x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.75 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.75x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.75x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.75x + x2 = 0 + -0.75
-0.75x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.75x + x2 = -0.75

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -0.75 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -0.75 + 0.140625

Combine like terms: -0.75 + 0.140625 = -0.609375
0.140625 + -0.75x + x2 = -0.609375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -0.609375

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
x = {0}