-(-4w-u)6(-3u-6w)=

Solution for -(-4w-u)6(-3u-6w)= equation:

Simplifying
-1(-4w + -1u) * 6(-3u + -6w) = 0

Reorder the terms:
-1(-1u + -4w) * 6(-3u + -6w) = 0

Reorder the terms for easier multiplication:
-1 * 6(-1u + -4w)(-3u + -6w) = 0

Multiply -1 * 6
-6(-1u + -4w)(-3u + -6w) = 0

Multiply (-1u + -4w) * (-3u + -6w)
-6(-1u * (-3u + -6w) + -4w * (-3u + -6w)) = 0
-6((-3u * -1u + -6w * -1u) + -4w * (-3u + -6w)) = 0

Reorder the terms:
-6((6uw + 3u2) + -4w * (-3u + -6w)) = 0
-6((6uw + 3u2) + -4w * (-3u + -6w)) = 0
-6(6uw + 3u2 + (-3u * -4w + -6w * -4w)) = 0
-6(6uw + 3u2 + (12uw + 24w2)) = 0

Reorder the terms:
-6(6uw + 12uw + 3u2 + 24w2) = 0

Combine like terms: 6uw + 12uw = 18uw
-6(18uw + 3u2 + 24w2) = 0
(18uw * -6 + 3u2 * -6 + 24w2 * -6) = 0
(-108uw + -18u2 + -144w2) = 0

Solving
-108uw + -18u2 + -144w2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-18'.
-18(6uw + u2 + 8w2) = 0

Factor a trinomial.
-18((u + 2w)(u + 4w)) = 0

Ignore the factor -18.
Subproblem 1
Set the factor '(u + 2w)' equal to zero and attempt to solve:

Simplifying
u + 2w = 0

Solving
u + 2w = 0

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

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

Combine like terms: 2w + -2w = 0
u + 0 = 0 + -2w
u = 0 + -2w
Remove the zero:
u = -2w

Simplifying
u = -2w
Subproblem 2
Set the factor '(u + 4w)' equal to zero and attempt to solve:

Simplifying
u + 4w = 0

Solving
u + 4w = 0

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

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

Combine like terms: 4w + -4w = 0
u + 0 = 0 + -4w
u = 0 + -4w
Remove the zero:
u = -4w

Simplifying
u = -4w
Solution
u = {-2w, -4w}