5(u+6)(-u+9)=0

Solution for 5(u+6)(-u+9)=0 equation:

Simplifying
5(u + 6)(-1u + 9) = 0

Reorder the terms:
5(6 + u)(-1u + 9) = 0

Reorder the terms:
5(6 + u)(9 + -1u) = 0

Multiply (6 + u) * (9 + -1u)
5(6(9 + -1u) + u(9 + -1u)) = 0
5((9 * 6 + -1u * 6) + u(9 + -1u)) = 0
5((54 + -6u) + u(9 + -1u)) = 0
5(54 + -6u + (9 * u + -1u * u)) = 0
5(54 + -6u + (9u + -1u2)) = 0

Combine like terms: -6u + 9u = 3u
5(54 + 3u + -1u2) = 0
(54 * 5 + 3u * 5 + -1u2 * 5) = 0
(270 + 15u + -5u2) = 0

Solving
270 + 15u + -5u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5'.
5(54 + 3u + -1u2) = 0

Factor a trinomial.
5((9 + -1u)(6 + u)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(9 + -1u)' equal to zero and attempt to solve:

Simplifying
9 + -1u = 0

Solving
9 + -1u = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1u = 0 + -9
-1u = 0 + -9

Combine like terms: 0 + -9 = -9
-1u = -9

Divide each side by '-1'.
u = 9

Simplifying
u = 9
Subproblem 2
Set the factor '(6 + u)' equal to zero and attempt to solve:

Simplifying
6 + u = 0

Solving
6 + u = 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 + u = 0 + -6

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

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

Simplifying
u = -6
Solution
u = {9, -6}