(u-3)(u+3)=

Solution for (u-3)(u+3)= equation:

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

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

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

Multiply (-3 + u) * (3 + u)
(-3(3 + u) + u(3 + u)) = 0
((3 * -3 + u * -3) + u(3 + u)) = 0
((-9 + -3u) + u(3 + u)) = 0
(-9 + -3u + (3 * u + u * u)) = 0
(-9 + -3u + (3u + u2)) = 0

Combine like terms: -3u + 3u = 0
(-9 + 0 + u2) = 0
(-9 + u2) = 0

Solving
-9 + u2 = 0

Solving for variable 'u'.

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

Add '9' to each side of the equation.
-9 + 9 + u2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + u2 = 0 + 9
u2 = 0 + 9

Combine like terms: 0 + 9 = 9
u2 = 9

Simplifying
u2 = 9

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