=40x^4-41x^2y+10y^2

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Solution for =40x^4-41x^2y+10y^2 equation: 


Simplifying
0 = 40x4 + -41x2y + 10y2

Reorder the terms:
0 = -41x2y + 40x4 + 10y2

Solving
0 = -41x2y + 40x4 + 10y2

Solving for variable 'x'.
Remove the zero:
41x2y + -40x4 + -10y2 = -41x2y + 40x4 + 10y2 + 41x2y + -40x4 + -10y2

Reorder the terms:
41x2y + -40x4 + -10y2 = -41x2y + 41x2y + 40x4 + -40x4 + 10y2 + -10y2

Combine like terms: -41x2y + 41x2y = 0
41x2y + -40x4 + -10y2 = 0 + 40x4 + -40x4 + 10y2 + -10y2
41x2y + -40x4 + -10y2 = 40x4 + -40x4 + 10y2 + -10y2

Combine like terms: 40x4 + -40x4 = 0
41x2y + -40x4 + -10y2 = 0 + 10y2 + -10y2
41x2y + -40x4 + -10y2 = 10y2 + -10y2

Combine like terms: 10y2 + -10y2 = 0
41x2y + -40x4 + -10y2 = 0

Factor a trinomial.
(-5x2 + 2y)(8x2 + -5y) = 0


Subproblem 1
Set the factor '(-5x2 + 2y)' equal to zero and attempt to solve:

Simplifying
-5x2 + 2y = 0

Solving
-5x2 + 2y = 0

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

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

Combine like terms: 2y + -2y = 0
-5x2 + 0 = 0 + -2y
-5x2 = 0 + -2y
Remove the zero:
-5x2 = -2y

Divide each side by '-5'.
x2 = 0.4y

Simplifying
x2 = 0.4y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(8x2 + -5y)' equal to zero and attempt to solve:

Simplifying
8x2 + -5y = 0

Solving
8x2 + -5y = 0

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

Add '5y' to each side of the equation.
8x2 + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
8x2 + 0 = 0 + 5y
8x2 = 0 + 5y
Remove the zero:
8x2 = 5y

Divide each side by '8'.
x2 = 0.625y

Simplifying
x2 = 0.625y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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