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

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


Simplifying
(x2 + -1y)(2x2 + 5y) = 0

Multiply (x2 + -1y) * (2x2 + 5y)
(x2(2x2 + 5y) + -1y * (2x2 + 5y)) = 0
((2x2 * x2 + 5y * x2) + -1y * (2x2 + 5y)) = 0

Reorder the terms:
((5x2y + 2x4) + -1y * (2x2 + 5y)) = 0
((5x2y + 2x4) + -1y * (2x2 + 5y)) = 0
(5x2y + 2x4 + (2x2 * -1y + 5y * -1y)) = 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.
(x2 + -1y)(2x2 + 5y) = 0


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

Simplifying
x2 + -1y = 0

Solving
x2 + -1y = 0

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

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

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

Simplifying
x2 = y

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 '(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.

The solution to this equation could not be determined.

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