(x^2+y)(2x^2-5y)=0

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Solution for (x^2+y)(2x^2-5y)=0 equation: 


Simplifying
(x2 + y)(2x2 + -5y) = 0

Multiply (x2 + y) * (2x2 + -5y)
(x2(2x2 + -5y) + y(2x2 + -5y)) = 0
((2x2 * x2 + -5y * x2) + y(2x2 + -5y)) = 0

Reorder the terms:
((-5x2y + 2x4) + y(2x2 + -5y)) = 0
((-5x2y + 2x4) + y(2x2 + -5y)) = 0
(-5x2y + 2x4 + (2x2 * y + -5y * y)) = 0
(-5x2y + 2x4 + (2x2y + -5y2)) = 0

Reorder the terms:
(-5x2y + 2x2y + 2x4 + -5y2) = 0

Combine like terms: -5x2y + 2x2y = -3x2y
(-3x2y + 2x4 + -5y2) = 0

Solving
-3x2y + 2x4 + -5y2 = 0

Solving for variable 'x'.

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


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

Simplifying
2x2 + -5y = 0

Solving
2x2 + -5y = 0

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

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

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

Divide each side by '2'.
x2 = 2.5y

Simplifying
x2 = 2.5y

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 '(x2 + y)' equal to zero and attempt to solve:

Simplifying
x2 + y = 0

Solving
x2 + y = 0

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

Add '-1y' to each side of the equation.
x2 + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
x2 + 0 = 0 + -1y
x2 = 0 + -1y
Remove the zero:
x2 = -1y

Simplifying
x2 = -1y

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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