x(4x^3-5xy+2x)=0

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Solution for x(4x^3-5xy+2x)=0 equation: 


Simplifying
x(4x3 + -5xy + 2x) = 0

Reorder the terms:
x(2x + -5xy + 4x3) = 0
(2x * x + -5xy * x + 4x3 * x) = 0
(2x2 + -5x2y + 4x4) = 0

Solving
2x2 + -5x2y + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(2 + -5y + 4x2) = 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 '(2 + -5y + 4x2)' equal to zero and attempt to solve:

Simplifying
2 + -5y + 4x2 = 0

Reorder the terms:
2 + 4x2 + -5y = 0

Solving
2 + 4x2 + -5y = 0

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

Add '-2' to each side of the equation.
2 + 4x2 + -2 + -5y = 0 + -2

Reorder the terms:
2 + -2 + 4x2 + -5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4x2 + -5y = 0 + -2
4x2 + -5y = 0 + -2

Combine like terms: 0 + -2 = -2
4x2 + -5y = -2

Add '5y' to each side of the equation.
4x2 + -5y + 5y = -2 + 5y

Combine like terms: -5y + 5y = 0
4x2 + 0 = -2 + 5y
4x2 = -2 + 5y

Divide each side by '4'.
x2 = -0.5 + 1.25y

Simplifying
x2 = -0.5 + 1.25y

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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