ax^2+bxy+cy^2=0

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Solution for ax^2+bxy+cy^2=0 equation:


Simplifying
ax2 + bxy + cy2 = 0

Solving
ax2 + bxy + cy2 = 0

Solving for variable 'a'.

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

Add '-1bxy' to each side of the equation.
ax2 + bxy + -1bxy + cy2 = 0 + -1bxy

Combine like terms: bxy + -1bxy = 0
ax2 + 0 + cy2 = 0 + -1bxy
ax2 + cy2 = 0 + -1bxy
Remove the zero:
ax2 + cy2 = -1bxy

Add '-1cy2' to each side of the equation.
ax2 + cy2 + -1cy2 = -1bxy + -1cy2

Combine like terms: cy2 + -1cy2 = 0
ax2 + 0 = -1bxy + -1cy2
ax2 = -1bxy + -1cy2

Divide each side by 'x2'.
a = -1bx-1y + -1cx-2y2

Simplifying
a = -1bx-1y + -1cx-2y2

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