=ab+6a

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Solution for =ab+6a equation:


Simplifying
0 = ab + 6a

Reorder the terms:
0 = 6a + ab

Solving
0 = 6a + ab

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
0 + -6a = 6a + -6a + ab
Remove the zero:
-6a = 6a + -6a + ab

Combine like terms: 6a + -6a = 0
-6a = 0 + ab
-6a = ab

Add '-1ab' to each side of the equation.
-6a + -1ab = ab + -1ab

Combine like terms: ab + -1ab = 0
-6a + -1ab = 0

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(6 + b) = 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 '(6 + b)' equal to zero and attempt to solve: Simplifying 6 + b = 0 Solving 6 + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + b = 0 + -6 b = 0 + -6 Combine like terms: 0 + -6 = -6 b = -6 Add '-1b' to each side of the equation. b + -1b = -6 + -1b Combine like terms: b + -1b = 0 0 = -6 + -1b Simplifying 0 = -6 + -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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