5x^2+4y^2+16y-4=0

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Solution for 5x^2+4y^2+16y-4=0 equation: 


Simplifying
5x2 + 4y2 + 16y + -4 = 0

Reorder the terms:
-4 + 5x2 + 16y + 4y2 = 0

Solving
-4 + 5x2 + 16y + 4y2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 5x2 + 16y + 4 + 4y2 = 0 + 4

Reorder the terms:
-4 + 4 + 5x2 + 16y + 4y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5x2 + 16y + 4y2 = 0 + 4
5x2 + 16y + 4y2 = 0 + 4

Combine like terms: 0 + 4 = 4
5x2 + 16y + 4y2 = 4

Add '-16y' to each side of the equation.
5x2 + 16y + -16y + 4y2 = 4 + -16y

Combine like terms: 16y + -16y = 0
5x2 + 0 + 4y2 = 4 + -16y
5x2 + 4y2 = 4 + -16y

Add '-4y2' to each side of the equation.
5x2 + 4y2 + -4y2 = 4 + -16y + -4y2

Combine like terms: 4y2 + -4y2 = 0
5x2 + 0 = 4 + -16y + -4y2
5x2 = 4 + -16y + -4y2

Divide each side by '5'.
x2 = 0.8 + -3.2y + -0.8y2

Simplifying
x2 = 0.8 + -3.2y + -0.8y2

Reorder the terms:
-0.8 + x2 + 3.2y + 0.8y2 = 0.8 + -3.2y + -0.8y2 + -0.8 + 3.2y + 0.8y2

Reorder the terms:
-0.8 + x2 + 3.2y + 0.8y2 = 0.8 + -0.8 + -3.2y + 3.2y + -0.8y2 + 0.8y2

Combine like terms: 0.8 + -0.8 = 0.0
-0.8 + x2 + 3.2y + 0.8y2 = 0.0 + -3.2y + 3.2y + -0.8y2 + 0.8y2
-0.8 + x2 + 3.2y + 0.8y2 = -3.2y + 3.2y + -0.8y2 + 0.8y2

Combine like terms: -3.2y + 3.2y = 0.0
-0.8 + x2 + 3.2y + 0.8y2 = 0.0 + -0.8y2 + 0.8y2
-0.8 + x2 + 3.2y + 0.8y2 = -0.8y2 + 0.8y2

Combine like terms: -0.8y2 + 0.8y2 = 0.0
-0.8 + x2 + 3.2y + 0.8y2 = 0.0

The solution to this equation could not be determined.

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