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

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


Simplifying
7x2 + -3x3 + 2x4 = 0

Solving
7x2 + -3x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(7 + -3x + 2x2) = 0


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 '(7 + -3x + 2x2)' equal to zero and attempt to solve:

Simplifying
7 + -3x + 2x2 = 0

Solving
7 + -3x + 2x2 = 0

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

Divide each side by '2'.
3.5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -1.5x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -1.5x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -1.5x + x2 = 0 + -3.5
-1.5x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-1.5x + x2 = -3.5

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -3.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -3.5 + 0.5625

Combine like terms: -3.5 + 0.5625 = -2.9375
0.5625 + -1.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -2.9375

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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