2x^3-4x^2+7x=0

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Solution for 2x^3-4x^2+7x=0 equation: 


Simplifying
2x3 + -4x2 + 7x = 0

Reorder the terms:
7x + -4x2 + 2x3 = 0

Solving
7x + -4x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + -4x + 2x2) = 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 '(7 + -4x + 2x2)' equal to zero and attempt to solve:

Simplifying
7 + -4x + 2x2 = 0

Solving
7 + -4x + 2x2 = 0

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

Divide each side by '2'.
3.5 + -2x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -2x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -2x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -2x + x2 = 0 + -3.5
-2x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-2x + x2 = -3.5

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

Add '1' to each side of the equation.
-2x + 1 + x2 = -3.5 + 1

Reorder the terms:
1 + -2x + x2 = -3.5 + 1

Combine like terms: -3.5 + 1 = -2.5
1 + -2x + x2 = -2.5

Factor a perfect square on the left side:
(x + -1)(x + -1) = -2.5

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
x = {0}

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