x=4ax-9x

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Solution for x=4ax-9x equation: 


Simplifying
x = 4ax + -9x

Solving
x = 4ax + -9x

Solving for variable 'x'.

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

Add '-4ax' to each side of the equation.
-4ax + x = 4ax + -4ax + -9x

Combine like terms: 4ax + -4ax = 0
-4ax + x = 0 + -9x
-4ax + x = -9x

Add '9x' to each side of the equation.
-4ax + x + 9x = -9x + 9x

Combine like terms: x + 9x = 10x
-4ax + 10x = -9x + 9x

Combine like terms: -9x + 9x = 0
-4ax + 10x = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-2a + 5)' equal to zero and attempt to solve:

Simplifying
-2a + 5 = 0

Reorder the terms:
5 + -2a = 0

Solving
5 + -2a = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2a = 0 + -5

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

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

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

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

Simplifying
0 = -5 + 2a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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