4x^2-y^2+16x^2-64y+1024=100

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Solution for 4x^2-y^2+16x^2-64y+1024=100 equation: 


Simplifying
4x2 + -1y2 + 16x2 + -64y + 1024 = 100

Reorder the terms:
1024 + 4x2 + 16x2 + -64y + -1y2 = 100

Combine like terms: 4x2 + 16x2 = 20x2
1024 + 20x2 + -64y + -1y2 = 100

Solving
1024 + 20x2 + -64y + -1y2 = 100

Solving for variable 'x'.

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

Add '-1024' to each side of the equation.
1024 + 20x2 + -64y + -1024 + -1y2 = 100 + -1024

Reorder the terms:
1024 + -1024 + 20x2 + -64y + -1y2 = 100 + -1024

Combine like terms: 1024 + -1024 = 0
0 + 20x2 + -64y + -1y2 = 100 + -1024
20x2 + -64y + -1y2 = 100 + -1024

Combine like terms: 100 + -1024 = -924
20x2 + -64y + -1y2 = -924

Add '64y' to each side of the equation.
20x2 + -64y + 64y + -1y2 = -924 + 64y

Combine like terms: -64y + 64y = 0
20x2 + 0 + -1y2 = -924 + 64y
20x2 + -1y2 = -924 + 64y

Add 'y2' to each side of the equation.
20x2 + -1y2 + y2 = -924 + 64y + y2

Combine like terms: -1y2 + y2 = 0
20x2 + 0 = -924 + 64y + y2
20x2 = -924 + 64y + y2

Divide each side by '20'.
x2 = -46.2 + 3.2y + 0.05y2

Simplifying
x2 = -46.2 + 3.2y + 0.05y2

Reorder the terms:
46.2 + x2 + -3.2y + -0.05y2 = -46.2 + 3.2y + 0.05y2 + 46.2 + -3.2y + -0.05y2

Reorder the terms:
46.2 + x2 + -3.2y + -0.05y2 = -46.2 + 46.2 + 3.2y + -3.2y + 0.05y2 + -0.05y2

Combine like terms: -46.2 + 46.2 = 0.0
46.2 + x2 + -3.2y + -0.05y2 = 0.0 + 3.2y + -3.2y + 0.05y2 + -0.05y2
46.2 + x2 + -3.2y + -0.05y2 = 3.2y + -3.2y + 0.05y2 + -0.05y2

Combine like terms: 3.2y + -3.2y = 0.0
46.2 + x2 + -3.2y + -0.05y2 = 0.0 + 0.05y2 + -0.05y2
46.2 + x2 + -3.2y + -0.05y2 = 0.05y2 + -0.05y2

Combine like terms: 0.05y2 + -0.05y2 = 0.00
46.2 + x2 + -3.2y + -0.05y2 = 0.00

The solution to this equation could not be determined.

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