x^2+4y^2+16y-20=0

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Solution for x^2+4y^2+16y-20=0 equation:


Simplifying
x2 + 4y2 + 16y + -20 = 0

Reorder the terms:
-20 + x2 + 16y + 4y2 = 0

Solving
-20 + x2 + 16y + 4y2 = 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 + x2 + 16y + 20 + 4y2 = 0 + 20

Reorder the terms:
-20 + 20 + x2 + 16y + 4y2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + x2 + 16y + 4y2 = 0 + 20
x2 + 16y + 4y2 = 0 + 20

Combine like terms: 0 + 20 = 20
x2 + 16y + 4y2 = 20

Add '-16y' to each side of the equation.
x2 + 16y + -16y + 4y2 = 20 + -16y

Combine like terms: 16y + -16y = 0
x2 + 0 + 4y2 = 20 + -16y
x2 + 4y2 = 20 + -16y

Add '-4y2' to each side of the equation.
x2 + 4y2 + -4y2 = 20 + -16y + -4y2

Combine like terms: 4y2 + -4y2 = 0
x2 + 0 = 20 + -16y + -4y2
x2 = 20 + -16y + -4y2

Simplifying
x2 = 20 + -16y + -4y2

Reorder the terms:
-20 + x2 + 16y + 4y2 = 20 + -16y + -4y2 + -20 + 16y + 4y2

Reorder the terms:
-20 + x2 + 16y + 4y2 = 20 + -20 + -16y + 16y + -4y2 + 4y2

Combine like terms: 20 + -20 = 0
-20 + x2 + 16y + 4y2 = 0 + -16y + 16y + -4y2 + 4y2
-20 + x2 + 16y + 4y2 = -16y + 16y + -4y2 + 4y2

Combine like terms: -16y + 16y = 0
-20 + x2 + 16y + 4y2 = 0 + -4y2 + 4y2
-20 + x2 + 16y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-20 + x2 + 16y + 4y2 = 0

The solution to this equation could not be determined.

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