ax^2+ay-bx^2-by=0

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Solution for ax^2+ay-bx^2-by=0 equation:


Simplifying
ax2 + ay + -1bx2 + -1by = 0

Solving
ax2 + ay + -1bx2 + -1by = 0

Solving for variable 'a'.

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

Add 'bx2' to each side of the equation.
ax2 + ay + -1bx2 + bx2 + -1by = 0 + bx2

Combine like terms: -1bx2 + bx2 = 0
ax2 + ay + 0 + -1by = 0 + bx2
ax2 + ay + -1by = 0 + bx2
Remove the zero:
ax2 + ay + -1by = bx2

Add 'by' to each side of the equation.
ax2 + ay + -1by + by = bx2 + by

Combine like terms: -1by + by = 0
ax2 + ay + 0 = bx2 + by
ax2 + ay = bx2 + by

Reorder the terms:
ax2 + ay + -1bx2 + -1by = bx2 + -1bx2 + by + -1by

Combine like terms: bx2 + -1bx2 = 0
ax2 + ay + -1bx2 + -1by = 0 + by + -1by
ax2 + ay + -1bx2 + -1by = by + -1by

Combine like terms: by + -1by = 0
ax2 + ay + -1bx2 + -1by = 0

The solution to this equation could not be determined.

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