5x^2+20Y^2-20xy=0

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Solution for 5x^2+20Y^2-20xy=0 equation:


Simplifying
5x2 + 20Y2 + -20xy = 0

Reorder the terms:
20Y2 + -20xy + 5x2 = 0

Solving
20Y2 + -20xy + 5x2 = 0

Solving for variable 'Y'.

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

Add '20xy' to each side of the equation.
20Y2 + -20xy + 20xy + 5x2 = 0 + 20xy

Combine like terms: -20xy + 20xy = 0
20Y2 + 0 + 5x2 = 0 + 20xy
20Y2 + 5x2 = 0 + 20xy
Remove the zero:
20Y2 + 5x2 = 20xy

Add '-5x2' to each side of the equation.
20Y2 + 5x2 + -5x2 = 20xy + -5x2

Combine like terms: 5x2 + -5x2 = 0
20Y2 + 0 = 20xy + -5x2
20Y2 = 20xy + -5x2

Divide each side by '20'.
Y2 = xy + -0.25x2

Simplifying
Y2 = xy + -0.25x2

Reorder the terms:
Y2 + -1xy + 0.25x2 = xy + -1xy + -0.25x2 + 0.25x2

Combine like terms: xy + -1xy = 0
Y2 + -1xy + 0.25x2 = 0 + -0.25x2 + 0.25x2
Y2 + -1xy + 0.25x2 = -0.25x2 + 0.25x2

Combine like terms: -0.25x2 + 0.25x2 = 0.00
Y2 + -1xy + 0.25x2 = 0.00

The solution to this equation could not be determined.

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