16x^2+4y^2-224-16y+736=0

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Solution for 16x^2+4y^2-224-16y+736=0 equation:


Simplifying
16x2 + 4y2 + -224 + -16y + 736 = 0

Reorder the terms:
-224 + 736 + 16x2 + -16y + 4y2 = 0

Combine like terms: -224 + 736 = 512
512 + 16x2 + -16y + 4y2 = 0

Solving
512 + 16x2 + -16y + 4y2 = 0

Solving for variable 'x'.

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

Add '-512' to each side of the equation.
512 + 16x2 + -16y + -512 + 4y2 = 0 + -512

Reorder the terms:
512 + -512 + 16x2 + -16y + 4y2 = 0 + -512

Combine like terms: 512 + -512 = 0
0 + 16x2 + -16y + 4y2 = 0 + -512
16x2 + -16y + 4y2 = 0 + -512

Combine like terms: 0 + -512 = -512
16x2 + -16y + 4y2 = -512

Add '16y' to each side of the equation.
16x2 + -16y + 16y + 4y2 = -512 + 16y

Combine like terms: -16y + 16y = 0
16x2 + 0 + 4y2 = -512 + 16y
16x2 + 4y2 = -512 + 16y

Add '-4y2' to each side of the equation.
16x2 + 4y2 + -4y2 = -512 + 16y + -4y2

Combine like terms: 4y2 + -4y2 = 0
16x2 + 0 = -512 + 16y + -4y2
16x2 = -512 + 16y + -4y2

Divide each side by '16'.
x2 = -32 + y + -0.25y2

Simplifying
x2 = -32 + y + -0.25y2

Reorder the terms:
32 + x2 + -1y + 0.25y2 = -32 + y + -0.25y2 + 32 + -1y + 0.25y2

Reorder the terms:
32 + x2 + -1y + 0.25y2 = -32 + 32 + y + -1y + -0.25y2 + 0.25y2

Combine like terms: -32 + 32 = 0
32 + x2 + -1y + 0.25y2 = 0 + y + -1y + -0.25y2 + 0.25y2
32 + x2 + -1y + 0.25y2 = y + -1y + -0.25y2 + 0.25y2

Combine like terms: y + -1y = 0
32 + x2 + -1y + 0.25y2 = 0 + -0.25y2 + 0.25y2
32 + x2 + -1y + 0.25y2 = -0.25y2 + 0.25y2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
32 + x2 + -1y + 0.25y2 = 0.00

The solution to this equation could not be determined.

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