4x^3-x^2+3x=0

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Solution for 4x^3-x^2+3x=0 equation: 


Simplifying
4x3 + -1x2 + 3x = 0

Reorder the terms:
3x + -1x2 + 4x3 = 0

Solving
3x + -1x2 + 4x3 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3 + -1x + 4x2)' equal to zero and attempt to solve:

Simplifying
3 + -1x + 4x2 = 0

Solving
3 + -1x + 4x2 = 0

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

Divide each side by '4'.
0.75 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.25x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.25x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.25x + x2 = 0 + -0.75
-0.25x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.25x + x2 = -0.75

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 = -0.75 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -0.75 + 0.015625

Combine like terms: -0.75 + 0.015625 = -0.734375
0.015625 + -0.25x + x2 = -0.734375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -0.734375

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}

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