(5x^2-3y)(x^2-y)=0

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Solution for (5x^2-3y)(x^2-y)=0 equation: 


Simplifying
(5x2 + -3y)(x2 + -1y) = 0

Multiply (5x2 + -3y) * (x2 + -1y)
(5x2 * (x2 + -1y) + -3y * (x2 + -1y)) = 0
((x2 * 5x2 + -1y * 5x2) + -3y * (x2 + -1y)) = 0

Reorder the terms:
((-5x2y + 5x4) + -3y * (x2 + -1y)) = 0
((-5x2y + 5x4) + -3y * (x2 + -1y)) = 0
(-5x2y + 5x4 + (x2 * -3y + -1y * -3y)) = 0
(-5x2y + 5x4 + (-3x2y + 3y2)) = 0

Reorder the terms:
(-5x2y + -3x2y + 5x4 + 3y2) = 0

Combine like terms: -5x2y + -3x2y = -8x2y
(-8x2y + 5x4 + 3y2) = 0

Solving
-8x2y + 5x4 + 3y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -1y)(5x2 + -3y) = 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 '(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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