5x^2+y^2-6y-20=0

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Solution for 5x^2+y^2-6y-20=0 equation: 


Simplifying
5x2 + y2 + -6y + -20 = 0

Reorder the terms:
-20 + 5x2 + -6y + y2 = 0

Solving
-20 + 5x2 + -6y + y2 = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 5x2 + -6y + 20 + y2 = 0 + 20

Reorder the terms:
-20 + 20 + 5x2 + -6y + y2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 5x2 + -6y + y2 = 0 + 20
5x2 + -6y + y2 = 0 + 20

Combine like terms: 0 + 20 = 20
5x2 + -6y + y2 = 20

Add '6y' to each side of the equation.
5x2 + -6y + 6y + y2 = 20 + 6y

Combine like terms: -6y + 6y = 0
5x2 + 0 + y2 = 20 + 6y
5x2 + y2 = 20 + 6y

Add '-1y2' to each side of the equation.
5x2 + y2 + -1y2 = 20 + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
5x2 + 0 = 20 + 6y + -1y2
5x2 = 20 + 6y + -1y2

Divide each side by '5'.
x2 = 4 + 1.2y + -0.2y2

Simplifying
x2 = 4 + 1.2y + -0.2y2

Reorder the terms:
-4 + x2 + -1.2y + 0.2y2 = 4 + 1.2y + -0.2y2 + -4 + -1.2y + 0.2y2

Reorder the terms:
-4 + x2 + -1.2y + 0.2y2 = 4 + -4 + 1.2y + -1.2y + -0.2y2 + 0.2y2

Combine like terms: 4 + -4 = 0
-4 + x2 + -1.2y + 0.2y2 = 0 + 1.2y + -1.2y + -0.2y2 + 0.2y2
-4 + x2 + -1.2y + 0.2y2 = 1.2y + -1.2y + -0.2y2 + 0.2y2

Combine like terms: 1.2y + -1.2y = 0.0
-4 + x2 + -1.2y + 0.2y2 = 0.0 + -0.2y2 + 0.2y2
-4 + x2 + -1.2y + 0.2y2 = -0.2y2 + 0.2y2

Combine like terms: -0.2y2 + 0.2y2 = 0.0
-4 + x2 + -1.2y + 0.2y2 = 0.0

The solution to this equation could not be determined.

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