(m+n)2-(m-n)2=0

Solution for (m+n)2-(m-n)2=0 equation:

Simplifying
(m + n) * 2 + -1(m + -1n) * 2 = 0

Reorder the terms for easier multiplication:
2(m + n) + -1(m + -1n) * 2 = 0
(m * 2 + n * 2) + -1(m + -1n) * 2 = 0
(2m + 2n) + -1(m + -1n) * 2 = 0

Reorder the terms for easier multiplication:
2m + 2n + -1 * 2(m + -1n) = 0

Multiply -1 * 2
2m + 2n + -2(m + -1n) = 0
2m + 2n + (m * -2 + -1n * -2) = 0
2m + 2n + (-2m + 2n) = 0

Reorder the terms:
2m + -2m + 2n + 2n = 0

Combine like terms: 2m + -2m = 0
0 + 2n + 2n = 0
2n + 2n = 0

Combine like terms: 2n + 2n = 4n
4n = 0

Solving
4n = 0

Solving for variable 'n'.

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

Divide each side by '4'.
n = 0

Simplifying
n = 0