x=3xy-15x

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Solution for x=3xy-15x equation: 


Simplifying
x = 3xy + -15x

Reorder the terms:
x = -15x + 3xy

Solving
x = -15x + 3xy

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
x + 15x = -15x + 15x + 3xy

Combine like terms: x + 15x = 16x
16x = -15x + 15x + 3xy

Combine like terms: -15x + 15x = 0
16x = 0 + 3xy
16x = 3xy

Add '-3xy' to each side of the equation.
16x + -3xy = 3xy + -3xy

Combine like terms: 3xy + -3xy = 0
16x + -3xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(16 + -3y) = 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 '(16 + -3y)' equal to zero and attempt to solve:

Simplifying
16 + -3y = 0

Solving
16 + -3y = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3y = 0 + -16
-3y = 0 + -16

Combine like terms: 0 + -16 = -16
-3y = -16

Add '3y' to each side of the equation.
-3y + 3y = -16 + 3y

Combine like terms: -3y + 3y = 0
0 = -16 + 3y

Simplifying
0 = -16 + 3y

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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