(-a)(b-c)=0

Solution for (-a)(b-c)=0 equation:

Simplifying
(-1a)(b + -1c) = 0

Remove parenthesis around (-1a)
-1a(b + -1c) = 0
(b * -1a + -1c * -1a) = 0
(-1ab + 1ac) = 0

Solving
-1ab + 1ac = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1b + c) = 0

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 '(-1b + c)' equal to zero and attempt to solve:

Simplifying
-1b + c = 0

Solving
-1b + c = 0

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

Add 'b' to each side of the equation.
-1b + b + c = 0 + b

Combine like terms: -1b + b = 0
0 + c = 0 + b
c = 0 + b
Remove the zero:
c = b

Add '-1c' to each side of the equation.
c + -1c = b + -1c

Combine like terms: c + -1c = 0
0 = b + -1c

Simplifying
0 = b + -1c

The solution to this equation could not be determined.

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