-4x^2*(3x^2-x+1)=

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

Simplifying
-4x2(3x2 + -1x + 1) = 0

Reorder the terms:
-4x2(1 + -1x + 3x2) = 0
(1 * -4x2 + -1x * -4x2 + 3x2 * -4x2) = 0
(-4x2 + 4x3 + -12x4) = 0

Solving
-4x2 + 4x3 + -12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-1 + x + -3x2) = 0

Ignore the factor 4.
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 '(-1 + x + -3x2)' equal to zero and attempt to solve:

Simplifying
-1 + x + -3x2 = 0

Solving
-1 + x + -3x2 = 0

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

Divide each side by '-3'.
0.3333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.3333333333x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.3333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + -0.3333333333
-0.3333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.3333333333x + x2 = -0.3333333333

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.3333333333x + 0.25 + x2 = -0.3333333333 + 0.25

Reorder the terms:
0.25 + -0.3333333333x + x2 = -0.3333333333 + 0.25

Combine like terms: -0.3333333333 + 0.25 = -0.0833333333
0.25 + -0.3333333333x + x2 = -0.0833333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.0833333333

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}