3(m-n)(m+n)=

Solution for 3(m-n)(m+n)= equation:

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

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

Reorder the terms:
3((mn + m2) + -1n * (m + n)) = 0
3((mn + m2) + -1n * (m + n)) = 0
3(mn + m2 + (m * -1n + n * -1n)) = 0
3(mn + m2 + (-1mn + -1n2)) = 0

Reorder the terms:
3(mn + -1mn + m2 + -1n2) = 0

Combine like terms: mn + -1mn = 0
3(0 + m2 + -1n2) = 0
3(m2 + -1n2) = 0
(m2 * 3 + -1n2 * 3) = 0
(3m2 + -3n2) = 0

Solving
3m2 + -3n2 = 0

Solving for variable 'm'.

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

Add '3n2' to each side of the equation.
3m2 + -3n2 + 3n2 = 0 + 3n2

Combine like terms: -3n2 + 3n2 = 0
3m2 + 0 = 0 + 3n2
3m2 = 0 + 3n2
Remove the zero:
3m2 = 3n2

Divide each side by '3'.
m2 = n2

Simplifying
m2 = n2

Take the square root of each side:
m = {-1n, n}