(u-3)(u-6)=

Solution for (u-3)(u-6)= equation:

Simplifying
(u + -3)(u + -6) = 0

Reorder the terms:
(-3 + u)(u + -6) = 0

Reorder the terms:
(-3 + u)(-6 + u) = 0

Multiply (-3 + u) * (-6 + u)
(-3(-6 + u) + u(-6 + u)) = 0
((-6 * -3 + u * -3) + u(-6 + u)) = 0
((18 + -3u) + u(-6 + u)) = 0
(18 + -3u + (-6 * u + u * u)) = 0
(18 + -3u + (-6u + u2)) = 0

Combine like terms: -3u + -6u = -9u
(18 + -9u + u2) = 0

Solving
18 + -9u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(3 + -1u)(6 + -1u) = 0

Subproblem 1
Set the factor '(3 + -1u)' equal to zero and attempt to solve:

Simplifying
3 + -1u = 0

Solving
3 + -1u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1u = 0 + -3
-1u = 0 + -3

Combine like terms: 0 + -3 = -3
-1u = -3

Divide each side by '-1'.
u = 3

Simplifying
u = 3
Subproblem 2
Set the factor '(6 + -1u)' equal to zero and attempt to solve:

Simplifying
6 + -1u = 0

Solving
6 + -1u = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = 0 + -6
-1u = 0 + -6

Combine like terms: 0 + -6 = -6
-1u = -6

Divide each side by '-1'.
u = 6

Simplifying
u = 6
Solution
u = {3, 6}