(m-3)(m+3)=0

Solution for (m-3)(m+3)=0 equation:

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

Reorder the terms:
(-3 + m)(m + 3) = 0

Reorder the terms:
(-3 + m)(3 + m) = 0

Multiply (-3 + m) * (3 + m)
(-3(3 + m) + m(3 + m)) = 0
((3 * -3 + m * -3) + m(3 + m)) = 0
((-9 + -3m) + m(3 + m)) = 0
(-9 + -3m + (3 * m + m * m)) = 0
(-9 + -3m + (3m + m2)) = 0

Combine like terms: -3m + 3m = 0
(-9 + 0 + m2) = 0
(-9 + m2) = 0

Solving
-9 + m2 = 0

Solving for variable 'm'.

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

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

Combine like terms: -9 + 9 = 0
0 + m2 = 0 + 9
m2 = 0 + 9

Combine like terms: 0 + 9 = 9
m2 = 9

Simplifying
m2 = 9

Take the square root of each side:
m = {-3, 3}