mnx^2-(m-n)x-1=0

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Solution for mnx^2-(m-n)x-1=0 equation:


Simplifying
mnx2 + -1(m + -1n) * x + -1 = 0

Reorder the terms for easier multiplication:
mnx2 + -1x(m + -1n) + -1 = 0
mnx2 + (m * -1x + -1n * -1x) + -1 = 0
mnx2 + (-1mx + 1nx) + -1 = 0

Reorder the terms:
-1 + mnx2 + -1mx + 1nx = 0

Solving
-1 + mnx2 + -1mx + 1nx = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + mnx2 + -1mx + 1 + 1nx = 0 + 1

Reorder the terms:
-1 + 1 + mnx2 + -1mx + 1nx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + mnx2 + -1mx + 1nx = 0 + 1
mnx2 + -1mx + 1nx = 0 + 1

Combine like terms: 0 + 1 = 1
mnx2 + -1mx + 1nx = 1

Add '-1nx' to each side of the equation.
mnx2 + -1mx + 1nx + -1nx = 1 + -1nx

Combine like terms: 1nx + -1nx = 0
mnx2 + -1mx + 0 = 1 + -1nx
mnx2 + -1mx = 1 + -1nx

Reorder the terms:
-1 + mnx2 + -1mx + nx = 1 + -1nx + -1 + nx

Reorder the terms:
-1 + mnx2 + -1mx + nx = 1 + -1 + -1nx + nx

Combine like terms: 1 + -1 = 0
-1 + mnx2 + -1mx + nx = 0 + -1nx + nx
-1 + mnx2 + -1mx + nx = -1nx + nx

Combine like terms: -1nx + nx = 0
-1 + mnx2 + -1mx + nx = 0

The solution to this equation could not be determined.

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