(-3ab+4a-5)-(-5ab-5)=

Solution for (-3ab+4a-5)-(-5ab-5)= equation:

Simplifying
(-3ab + 4a + -5) + -1(-5ab + -5) = 0

Reorder the terms:
(-5 + 4a + -3ab) + -1(-5ab + -5) = 0

Remove parenthesis around (-5 + 4a + -3ab)
-5 + 4a + -3ab + -1(-5ab + -5) = 0

Reorder the terms:
-5 + 4a + -3ab + -1(-5 + -5ab) = 0
-5 + 4a + -3ab + (-5 * -1 + -5ab * -1) = 0
-5 + 4a + -3ab + (5 + 5ab) = 0

Reorder the terms:
-5 + 5 + 4a + -3ab + 5ab = 0

Combine like terms: -5 + 5 = 0
0 + 4a + -3ab + 5ab = 0
4a + -3ab + 5ab = 0

Combine like terms: -3ab + 5ab = 2ab
4a + 2ab = 0

Solving
4a + 2ab = 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), '2a'.
2a(2 + b) = 0

Ignore the factor 2.
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 '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

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

Combine like terms: 2 + -2 = 0
0 + b = 0 + -2
b = 0 + -2

Combine like terms: 0 + -2 = -2
b = -2

Add '-1b' to each side of the equation.
b + -1b = -2 + -1b

Combine like terms: b + -1b = 0
0 = -2 + -1b

Simplifying
0 = -2 + -1b

The solution to this equation could not be determined.

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