ax^2+2hxy+by^2=0

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Solution for ax^2+2hxy+by^2=0 equation:


Simplifying
ax2 + 2hxy + by2 = 0

Reorder the terms:
ax2 + by2 + 2hxy = 0

Solving
ax2 + by2 + 2hxy = 0

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 + 2hxy = 0 + -1by2

Combine like terms: by2 + -1by2 = 0
ax2 + 0 + 2hxy = 0 + -1by2
ax2 + 2hxy = 0 + -1by2
Remove the zero:
ax2 + 2hxy = -1by2

Add '-2hxy' to each side of the equation.
ax2 + 2hxy + -2hxy = -1by2 + -2hxy

Combine like terms: 2hxy + -2hxy = 0
ax2 + 0 = -1by2 + -2hxy
ax2 = -1by2 + -2hxy

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

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

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