5ax-8a=2a

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Solution for 5ax-8a=2a equation: 


Simplifying
5ax + -8a = 2a

Reorder the terms:
-8a + 5ax = 2a

Solving
-8a + 5ax = 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-8a + -2a + 5ax = 2a + -2a

Combine like terms: -8a + -2a = -10a
-10a + 5ax = 2a + -2a

Combine like terms: 2a + -2a = 0
-10a + 5ax = 0

Factor out the Greatest Common Factor (GCF), '5a'.
5a(-2 + x) = 0

Ignore the factor 5.

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 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

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

Combine like terms: 0 + 2 = 2
x = 2

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

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

Simplifying
0 = 2 + -1x

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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