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

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

Simplifying
3x2(2 + -1x + 4x2) = 0
(2 * 3x2 + -1x * 3x2 + 4x2 * 3x2) = 0
(6x2 + -3x3 + 12x4) = 0

Solving
6x2 + -3x3 + 12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(2 + -1x + 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 '(2 + -1x + 4x2)' equal to zero and attempt to solve:

Simplifying
2 + -1x + 4x2 = 0

Solving
2 + -1x + 4x2 = 0

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

Divide each side by '4'.
0.5 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.25x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.25x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.25x + x2 = 0 + -0.5
-0.25x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.25x + x2 = -0.5

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -0.5 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -0.5 + 0.015625

Combine like terms: -0.5 + 0.015625 = -0.484375
0.015625 + -0.25x + x2 = -0.484375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -0.484375

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}