(N-2)(n-3)=42

Solution for (N-2)(n-3)=42 equation:

Simplifying
(N + -2)(n + -3) = 42

Reorder the terms:
(-2 + N)(n + -3) = 42

Reorder the terms:
(-2 + N)(-3 + n) = 42

Multiply (-2 + N) * (-3 + n)
(-2(-3 + n) + N(-3 + n)) = 42
((-3 * -2 + n * -2) + N(-3 + n)) = 42
((6 + -2n) + N(-3 + n)) = 42
(6 + -2n + (-3 * N + n * N)) = 42
(6 + -2n + (-3N + nN)) = 42

Reorder the terms:
(6 + -3N + -2n + nN) = 42
(6 + -3N + -2n + nN) = 42

Solving
6 + -3N + -2n + nN = 42

Solving for variable 'N'.

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

Add '-6' to each side of the equation.
6 + -3N + -2n + -6 + nN = 42 + -6

Reorder the terms:
6 + -6 + -3N + -2n + nN = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -3N + -2n + nN = 42 + -6
-3N + -2n + nN = 42 + -6

Combine like terms: 42 + -6 = 36
-3N + -2n + nN = 36

Add '2n' to each side of the equation.
-3N + -2n + 2n + nN = 36 + 2n

Combine like terms: -2n + 2n = 0
-3N + 0 + nN = 36 + 2n
-3N + nN = 36 + 2n

Reorder the terms:
-36 + -3N + -2n + nN = 36 + 2n + -36 + -2n

Reorder the terms:
-36 + -3N + -2n + nN = 36 + -36 + 2n + -2n

Combine like terms: 36 + -36 = 0
-36 + -3N + -2n + nN = 0 + 2n + -2n
-36 + -3N + -2n + nN = 2n + -2n

Combine like terms: 2n + -2n = 0
-36 + -3N + -2n + nN = 0

The solution to this equation could not be determined.