m(n+1)-n(m-1)=

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Solution for m(n+1)-n(m-1)= equation:


Simplifying
m(n + 1) + -1n(m + -1) = 0

Reorder the terms:
m(1 + n) + -1n(m + -1) = 0
(1 * m + n * m) + -1n(m + -1) = 0
(1m + mn) + -1n(m + -1) = 0

Reorder the terms:
1m + mn + -1n(-1 + m) = 0
1m + mn + (-1 * -1n + m * -1n) = 0

Reorder the terms:
1m + mn + (-1mn + 1n) = 0
1m + mn + (-1mn + 1n) = 0

Combine like terms: mn + -1mn = 0
1m + 0 + 1n = 0
1m + 1n = 0

Solving
1m + 1n = 0

Solving for variable 'm'.

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

Add '-1n' to each side of the equation.
1m + 1n + -1n = 0 + -1n

Combine like terms: 1n + -1n = 0
1m + 0 = 0 + -1n
1m = 0 + -1n
Remove the zero:
1m = -1n

Divide each side by '1'.
m = -1n

Simplifying
m = -1n

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