(3m-2n)(3m+2n)=

Solution for (3m-2n)(3m+2n)= equation:

Simplifying
(3m + -2n)(3m + 2n) = 0

Multiply (3m + -2n) * (3m + 2n)
(3m * (3m + 2n) + -2n * (3m + 2n)) = 0
((3m * 3m + 2n * 3m) + -2n * (3m + 2n)) = 0

Reorder the terms:
((6mn + 9m2) + -2n * (3m + 2n)) = 0
((6mn + 9m2) + -2n * (3m + 2n)) = 0
(6mn + 9m2 + (3m * -2n + 2n * -2n)) = 0
(6mn + 9m2 + (-6mn + -4n2)) = 0

Reorder the terms:
(6mn + -6mn + 9m2 + -4n2) = 0

Combine like terms: 6mn + -6mn = 0
(0 + 9m2 + -4n2) = 0
(9m2 + -4n2) = 0

Solving
9m2 + -4n2 = 0

Solving for variable 'm'.

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

Add '4n2' to each side of the equation.
9m2 + -4n2 + 4n2 = 0 + 4n2

Combine like terms: -4n2 + 4n2 = 0
9m2 + 0 = 0 + 4n2
9m2 = 0 + 4n2
Remove the zero:
9m2 = 4n2

Divide each side by '9'.
m2 = 0.4444444444n2

Simplifying
m2 = 0.4444444444n2

Take the square root of each side:
m = {-0.666666667n, 0.666666667n}