(5n^2-8xy)(n^2+xy)=0

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Solution for (5n^2-8xy)(n^2+xy)=0 equation: 


Simplifying
(5n2 + -8xy)(n2 + xy) = 0

Multiply (5n2 + -8xy) * (n2 + xy)
(5n2 * (n2 + xy) + -8xy * (n2 + xy)) = 0
((n2 * 5n2 + xy * 5n2) + -8xy * (n2 + xy)) = 0

Reorder the terms:
((5n2xy + 5n4) + -8xy * (n2 + xy)) = 0
((5n2xy + 5n4) + -8xy * (n2 + xy)) = 0
(5n2xy + 5n4 + (n2 * -8xy + xy * -8xy)) = 0
(5n2xy + 5n4 + (-8n2xy + -8x2y2)) = 0

Reorder the terms:
(5n2xy + -8n2xy + 5n4 + -8x2y2) = 0

Combine like terms: 5n2xy + -8n2xy = -3n2xy
(-3n2xy + 5n4 + -8x2y2) = 0

Solving
-3n2xy + 5n4 + -8x2y2 = 0

Solving for variable 'n'.

Factor a trinomial.
(5n2 + -8xy)(n2 + xy) = 0


Subproblem 1
Set the factor '(5n2 + -8xy)' equal to zero and attempt to solve:

Simplifying
5n2 + -8xy = 0

Solving
5n2 + -8xy = 0

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

Add '8xy' to each side of the equation.
5n2 + -8xy + 8xy = 0 + 8xy

Combine like terms: -8xy + 8xy = 0
5n2 + 0 = 0 + 8xy
5n2 = 0 + 8xy
Remove the zero:
5n2 = 8xy

Divide each side by '5'.
n2 = 1.6xy

Simplifying
n2 = 1.6xy

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 '(n2 + xy)' equal to zero and attempt to solve:

Simplifying
n2 + xy = 0

Solving
n2 + xy = 0

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

Add '-1xy' to each side of the equation.
n2 + xy + -1xy = 0 + -1xy

Combine like terms: xy + -1xy = 0
n2 + 0 = 0 + -1xy
n2 = 0 + -1xy
Remove the zero:
n2 = -1xy

Simplifying
n2 = -1xy

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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