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

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

Simplifying
(6 + -1u)(3 + 6u) = 0

Multiply (6 + -1u) * (3 + 6u)
(6(3 + 6u) + -1u * (3 + 6u)) = 0
((3 * 6 + 6u * 6) + -1u * (3 + 6u)) = 0
((18 + 36u) + -1u * (3 + 6u)) = 0
(18 + 36u + (3 * -1u + 6u * -1u)) = 0
(18 + 36u + (-3u + -6u2)) = 0

Combine like terms: 36u + -3u = 33u
(18 + 33u + -6u2) = 0

Solving
18 + 33u + -6u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + 11u + -2u2) = 0

Factor a trinomial.
3((6 + -1u)(1 + 2u)) = 0

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + 2u)' equal to zero and attempt to solve:

Simplifying
1 + 2u = 0

Solving
1 + 2u = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2u = 0 + -1
2u = 0 + -1

Combine like terms: 0 + -1 = -1
2u = -1

Divide each side by '2'.
u = -0.5

Simplifying
u = -0.5
Solution
u = {6, -0.5}