(-a)xy(z+d)=ashit

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Solution for (-a)xy(z+d)=ashit equation: 


Simplifying
(-1a) * xy(z + d) = ashit

Remove parenthesis around (-1a)
-1a * xy(z + d) = ashit

Reorder the terms:
-1a * xy(d + z) = ashit

Multiply a * xy
-1axy(d + z) = ashit
(d * -1axy + z * -1axy) = ashit
(-1adxy + -1axyz) = ashit

Solving
-1adxy + -1axyz = ahist

Solving for variable 'a'.

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

Add '-1ahist' to each side of the equation.
-1adxy + -1ahist + -1axyz = ahist + -1ahist

Combine like terms: ahist + -1ahist = 0
-1adxy + -1ahist + -1axyz = 0

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(dxy + hist + xyz) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(dxy + hist + xyz)' equal to zero and attempt to solve:

Simplifying
dxy + hist + xyz = 0

Solving
dxy + hist + xyz = 0

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

Add '-1dxy' to each side of the equation.
dxy + hist + -1dxy + xyz = 0 + -1dxy

Reorder the terms:
dxy + -1dxy + hist + xyz = 0 + -1dxy

Combine like terms: dxy + -1dxy = 0
0 + hist + xyz = 0 + -1dxy
hist + xyz = 0 + -1dxy
Remove the zero:
hist + xyz = -1dxy

Add '-1hist' to each side of the equation.
hist + -1hist + xyz = -1dxy + -1hist

Combine like terms: hist + -1hist = 0
0 + xyz = -1dxy + -1hist
xyz = -1dxy + -1hist

Add '-1xyz' to each side of the equation.
xyz + -1xyz = -1dxy + -1hist + -1xyz

Combine like terms: xyz + -1xyz = 0
0 = -1dxy + -1hist + -1xyz

Simplifying
0 = -1dxy + -1hist + -1xyz

The solution to this equation could not be determined.

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

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