ax^2+by^2=16

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Solution for ax^2+by^2=16 equation: 


Simplifying
ax2 + by2 = 16

Solving
ax2 + by2 = 16

Solving for variable 'a'.

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

Add '-1by2' to each side of the equation.
ax2 + by2 + -1by2 = 16 + -1by2

Combine like terms: by2 + -1by2 = 0
ax2 + 0 = 16 + -1by2
ax2 = 16 + -1by2

Divide each side by 'x2'.
a = 16x-2 + -1bx-2y2

Simplifying
a = 16x-2 + -1bx-2y2

Reorder the terms:
a = -1bx-2y2 + 16x-2

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