x=a(3x*22+9x)

Solution for x=a(3x*22+9x) equation:

Simplifying
x = a(3x * 22 + 9x)

Reorder the terms for easier multiplication:
x = a(3 * 22x + 9x)

Multiply 3 * 22
x = a(66x + 9x)

Combine like terms: 66x + 9x = 75x
x = a(75x)

Remove parenthesis around (75x)
x = a * 75x

Reorder the terms for easier multiplication:
x = 75a * x

Multiply a * x
x = 75ax

Solving
x = 75ax

Solving for variable 'x'.

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

Add '-75ax' to each side of the equation.
-75ax + x = 75ax + -75ax

Combine like terms: 75ax + -75ax = 0
-75ax + x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-75a + 1) = 0

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 '(-75a + 1)' equal to zero and attempt to solve:

Simplifying
-75a + 1 = 0

Reorder the terms:
1 + -75a = 0

Solving
1 + -75a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -75a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -75a = 0 + -1
-75a = 0 + -1

Combine like terms: 0 + -1 = -1
-75a = -1

Add '75a' to each side of the equation.
-75a + 75a = -1 + 75a

Combine like terms: -75a + 75a = 0
0 = -1 + 75a

Simplifying
0 = -1 + 75a

The solution to this equation could not be determined.

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