ab=-a

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Solution for ab=-a equation:


Simplifying
ab = -1a

Solving
ab = -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
a + ab = -1a + a

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + b) = 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 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 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 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Add '-1b' to each side of the equation. b + -1b = -1 + -1b Combine like terms: b + -1b = 0 0 = -1 + -1b Simplifying 0 = -1 + -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}

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