AC=2(AB)

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Solution for AC=2(AB) equation: 


Simplifying
AC = 2(AB)

Solving
AC = 2AB

Solving for variable 'A'.

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

Add '-2AB' to each side of the equation.
-2AB + AC = 2AB + -2AB

Combine like terms: 2AB + -2AB = 0
-2AB + AC = 0

Factor out the Greatest Common Factor (GCF), 'A'.
A(-2B + 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 '(-2B + C)' equal to zero and attempt to solve:

Simplifying
-2B + C = 0

Solving
-2B + C = 0

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

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

Combine like terms: -2B + 2B = 0
0 + C = 0 + 2B
C = 0 + 2B
Remove the zero:
C = 2B

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

Combine like terms: C + -1C = 0
0 = 2B + -1C

Simplifying
0 = 2B + -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}

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