A*(BuC)=(a*b)u(a*c)

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Solution for A*(BuC)=(a*b)u(a*c) equation: 


Simplifying
A(BuC) = (a * b) * u(a * c)

Multiply A * uBC
uABC = (a * b) * u(a * c)

Multiply a * b
uABC = (ab) * u(a * c)

Multiply a * c
uABC = ab * u(ac)

Multiply ab * u
uABC = abu * ac

Multiply abu * ac
uABC = a2bcu

Solving
uABC = a2bcu

Solving for variable 'u'.

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

Add '-1a2bcu' to each side of the equation.
-1a2bcu + uABC = a2bcu + -1a2bcu

Combine like terms: a2bcu + -1a2bcu = 0
-1a2bcu + uABC = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(-1a2bc + ABC) = 0


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 '(-1a2bc + ABC)' equal to zero and attempt to solve:

Simplifying
-1a2bc + ABC = 0

Reorder the terms:
ABC + -1a2bc = 0

Solving
ABC + -1a2bc = 0

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

Add '-1ABC' to each side of the equation.
ABC + -1ABC + -1a2bc = 0 + -1ABC

Combine like terms: ABC + -1ABC = 0
0 + -1a2bc = 0 + -1ABC
-1a2bc = 0 + -1ABC
Remove the zero:
-1a2bc = -1ABC

Add 'a2bc' to each side of the equation.
-1a2bc + a2bc = -1ABC + a2bc

Combine like terms: -1a2bc + a2bc = 0
0 = -1ABC + a2bc

Simplifying
0 = -1ABC + a2bc

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
u = {0}

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