3u(-3u-3)(-1u+4)=

Solution for 3u(-3u-3)(-1u+4)= equation:

Simplifying
3u(-3u + -3)(-1u + 4) = 0

Reorder the terms:
3u(-3 + -3u)(-1u + 4) = 0

Reorder the terms:
3u(-3 + -3u)(4 + -1u) = 0

Multiply (-3 + -3u) * (4 + -1u)
3u(-3(4 + -1u) + -3u * (4 + -1u)) = 0
3u((4 * -3 + -1u * -3) + -3u * (4 + -1u)) = 0
3u((-12 + 3u) + -3u * (4 + -1u)) = 0
3u(-12 + 3u + (4 * -3u + -1u * -3u)) = 0
3u(-12 + 3u + (-12u + 3u2)) = 0

Combine like terms: 3u + -12u = -9u
3u(-12 + -9u + 3u2) = 0
(-12 * 3u + -9u * 3u + 3u2 * 3u) = 0
(-36u + -27u2 + 9u3) = 0

Solving
-36u + -27u2 + 9u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '9u'.
9u(-4 + -3u + u2) = 0

Factor a trinomial.
9u((-1 + -1u)(4 + -1u)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(-1 + -1u)' equal to zero and attempt to solve:

Simplifying
-1 + -1u = 0

Solving
-1 + -1u = 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 + -1u = 0 + 1

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

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

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

Simplifying
u = -1
Subproblem 3
Set the factor '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {0, -1, 4}