(a-b)db-(a+b)da=0

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Solution for (a-b)db-(a+b)da=0 equation:


Simplifying
(a + -1b) * db + -1(a + b) * da = 0

Reorder the terms for easier multiplication:
bd(a + -1b) + -1(a + b) * da = 0
(a * bd + -1b * bd) + -1(a + b) * da = 0
(abd + -1b2d) + -1(a + b) * da = 0

Reorder the terms for easier multiplication:
abd + -1b2d + -1ad(a + b) = 0
abd + -1b2d + (a * -1ad + b * -1ad) = 0

Reorder the terms:
abd + -1b2d + (-1abd + -1a2d) = 0
abd + -1b2d + (-1abd + -1a2d) = 0

Reorder the terms:
abd + -1abd + -1a2d + -1b2d = 0

Combine like terms: abd + -1abd = 0
0 + -1a2d + -1b2d = 0
-1a2d + -1b2d = 0

Solving
-1a2d + -1b2d = 0

Solving for variable 'a'.

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

Add 'b2d' to each side of the equation.
-1a2d + -1b2d + b2d = 0 + b2d

Combine like terms: -1b2d + b2d = 0
-1a2d + 0 = 0 + b2d
-1a2d = 0 + b2d
Remove the zero:
-1a2d = b2d

Divide each side by '-1d'.
a2 = -1b2

Simplifying
a2 = -1b2

Combine like terms: -1b2 + b2 = 0
a2 + b2 = 0

The solution to this equation could not be determined.

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