5x^2-3xy-8xy=0

Solution for 5x^2-3xy-8xy=0 equation:

Simplifying
5x2 + -3xy + -8xy = 0

Reorder the terms:
-3xy + -8xy + 5x2 = 0

Combine like terms: -3xy + -8xy = -11xy
-11xy + 5x2 = 0

Solving
-11xy + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11y + 5x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-11y + 5x)' equal to zero and attempt to solve:

Simplifying
-11y + 5x = 0

Reorder the terms:
5x + -11y = 0

Solving
5x + -11y = 0

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

Add '11y' to each side of the equation.
5x + -11y + 11y = 0 + 11y

Combine like terms: -11y + 11y = 0
5x + 0 = 0 + 11y
5x = 0 + 11y
Remove the zero:
5x = 11y

Divide each side by '5'.
x = 2.2y

Simplifying
x = 2.2y
Solution
x = {0, 2.2y}