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

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


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

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

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

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

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

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

Combine like terms: -5ab + 4ab = -1ab
a + -1ab = 0

Solving
a + -1ab = 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(1 + -1b) = 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 '(1 + -1b)' equal to zero and attempt to solve: Simplifying 1 + -1b = 0 Solving 1 + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Add 'b' to each side of the equation. -1b + b = -1 + b Combine like terms: -1b + b = 0 0 = -1 + b Simplifying 0 = -1 + b 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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