(u-5)(u+5)=

Solution for (u-5)(u+5)= equation:

Simplifying
(u + -5)(u + 5) = 0

Reorder the terms:
(-5 + u)(u + 5) = 0

Reorder the terms:
(-5 + u)(5 + u) = 0

Multiply (-5 + u) * (5 + u)
(-5(5 + u) + u(5 + u)) = 0
((5 * -5 + u * -5) + u(5 + u)) = 0
((-25 + -5u) + u(5 + u)) = 0
(-25 + -5u + (5 * u + u * u)) = 0
(-25 + -5u + (5u + u2)) = 0

Combine like terms: -5u + 5u = 0
(-25 + 0 + u2) = 0
(-25 + u2) = 0

Solving
-25 + u2 = 0

Solving for variable 'u'.

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

Add '25' to each side of the equation.
-25 + 25 + u2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + u2 = 0 + 25
u2 = 0 + 25

Combine like terms: 0 + 25 = 25
u2 = 25

Simplifying
u2 = 25

Take the square root of each side:
u = {-5, 5}