5ax-ax=24a

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Solution for 5ax-ax=24a equation:


Simplifying
5ax + -1ax = 24a

Combine like terms: 5ax + -1ax = 4ax
4ax = 24a

Solving
4ax = 24a

Solving for variable 'a'.

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

Add '-24a' to each side of the equation.
-24a + 4ax = 24a + -24a

Combine like terms: 24a + -24a = 0
-24a + 4ax = 0

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-6 + x) = 0

Ignore the factor 4.

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 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 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 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -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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