23x(2y+1)=x

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Solution for 23x(2y+1)=x equation: 


Simplifying
23x(2y + 1) = x

Reorder the terms:
23x(1 + 2y) = x
(1 * 23x + 2y * 23x) = x
(23x + 46xy) = x

Solving
23x + 46xy = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
23x + -1x + 46xy = x + -1x

Combine like terms: 23x + -1x = 22x
22x + 46xy = x + -1x

Combine like terms: x + -1x = 0
22x + 46xy = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(11 + 23y) = 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 '(11 + 23y)' equal to zero and attempt to solve:

Simplifying
11 + 23y = 0

Solving
11 + 23y = 0

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

Add '-11' to each side of the equation.
11 + -11 + 23y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 23y = 0 + -11
23y = 0 + -11

Combine like terms: 0 + -11 = -11
23y = -11

Add '-23y' to each side of the equation.
23y + -23y = -11 + -23y

Combine like terms: 23y + -23y = 0
0 = -11 + -23y

Simplifying
0 = -11 + -23y

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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