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

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


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

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

Reorder the terms:
((4x2y + 6x4) + -5y * (3x2 + 2y)) = 0
((4x2y + 6x4) + -5y * (3x2 + 2y)) = 0
(4x2y + 6x4 + (3x2 * -5y + 2y * -5y)) = 0
(4x2y + 6x4 + (-15x2y + -10y2)) = 0

Reorder the terms:
(4x2y + -15x2y + 6x4 + -10y2) = 0

Combine like terms: 4x2y + -15x2y = -11x2y
(-11x2y + 6x4 + -10y2) = 0

Solving
-11x2y + 6x4 + -10y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x2 + -5y)(3x2 + 2y) = 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 '(3x2 + 2y)' equal to zero and attempt to solve:

Simplifying
3x2 + 2y = 0

Solving
3x2 + 2y = 0

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

Add '-2y' to each side of the equation.
3x2 + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
3x2 + 0 = 0 + -2y
3x2 = 0 + -2y
Remove the zero:
3x2 = -2y

Divide each side by '3'.
x2 = -0.6666666667y

Simplifying
x2 = -0.6666666667y

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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