abx^2+(an-bm)x-mn=0

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Solution for abx^2+(an-bm)x-mn=0 equation:


Simplifying
abx2 + (an + -1bm) * x + -1mn = 0

Reorder the terms for easier multiplication:
abx2 + x(an + -1bm) + -1mn = 0
abx2 + (an * x + -1bm * x) + -1mn = 0
abx2 + (anx + -1bmx) + -1mn = 0

Solving
abx2 + anx + -1bmx + -1mn = 0

Solving for variable 'a'.

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

Add 'bmx' to each side of the equation.
abx2 + anx + -1bmx + bmx + -1mn = 0 + bmx

Combine like terms: -1bmx + bmx = 0
abx2 + anx + 0 + -1mn = 0 + bmx
abx2 + anx + -1mn = 0 + bmx
Remove the zero:
abx2 + anx + -1mn = bmx

Add 'mn' to each side of the equation.
abx2 + anx + -1mn + mn = bmx + mn

Combine like terms: -1mn + mn = 0
abx2 + anx + 0 = bmx + mn
abx2 + anx = bmx + mn

Reorder the terms:
abx2 + anx + -1bmx + -1mn = bmx + -1bmx + mn + -1mn

Combine like terms: bmx + -1bmx = 0
abx2 + anx + -1bmx + -1mn = 0 + mn + -1mn
abx2 + anx + -1bmx + -1mn = mn + -1mn

Combine like terms: mn + -1mn = 0
abx2 + anx + -1bmx + -1mn = 0

The solution to this equation could not be determined.

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