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

Solution for 5(u-6)(-u+3)=0 equation:

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

Reorder the terms:
5(-6 + u)(-1u + 3) = 0

Reorder the terms:
5(-6 + u)(3 + -1u) = 0

Multiply (-6 + u) * (3 + -1u)
5(-6(3 + -1u) + u(3 + -1u)) = 0
5((3 * -6 + -1u * -6) + u(3 + -1u)) = 0
5((-18 + 6u) + u(3 + -1u)) = 0
5(-18 + 6u + (3 * u + -1u * u)) = 0
5(-18 + 6u + (3u + -1u2)) = 0

Combine like terms: 6u + 3u = 9u
5(-18 + 9u + -1u2) = 0
(-18 * 5 + 9u * 5 + -1u2 * 5) = 0
(-90 + 45u + -5u2) = 0

Solving
-90 + 45u + -5u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-18 + 9u + -1u2) = 0

Factor a trinomial.
5((-6 + u)(3 + -1u)) = 0

Ignore the factor 5.
Subproblem 1
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
Subproblem 2
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
Solution
u = {6, 3}