(2x^2-4y)(5x^2-3y)=

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Solution for (2x^2-4y)(5x^2-3y)= equation: 


Simplifying
(2x2 + -4y)(5x2 + -3y) = 0

Multiply (2x2 + -4y) * (5x2 + -3y)
(2x2 * (5x2 + -3y) + -4y * (5x2 + -3y)) = 0
((5x2 * 2x2 + -3y * 2x2) + -4y * (5x2 + -3y)) = 0

Reorder the terms:
((-6x2y + 10x4) + -4y * (5x2 + -3y)) = 0
((-6x2y + 10x4) + -4y * (5x2 + -3y)) = 0
(-6x2y + 10x4 + (5x2 * -4y + -3y * -4y)) = 0
(-6x2y + 10x4 + (-20x2y + 12y2)) = 0

Reorder the terms:
(-6x2y + -20x2y + 10x4 + 12y2) = 0

Combine like terms: -6x2y + -20x2y = -26x2y
(-26x2y + 10x4 + 12y2) = 0

Solving
-26x2y + 10x4 + 12y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-13x2y + 5x4 + 6y2) = 0

Factor a trinomial.
2((x2 + -2y)(5x2 + -3y)) = 0

Ignore the factor 2.

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

Simplifying
x2 + -2y = 0

Solving
x2 + -2y = 0

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

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

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

Simplifying
x2 = 2y

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 '(5x2 + -3y)' equal to zero and attempt to solve:

Simplifying
5x2 + -3y = 0

Solving
5x2 + -3y = 0

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

Add '3y' to each side of the equation.
5x2 + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
5x2 + 0 = 0 + 3y
5x2 = 0 + 3y
Remove the zero:
5x2 = 3y

Divide each side by '5'.
x2 = 0.6y

Simplifying
x2 = 0.6y

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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