yx(420)=3x

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Solution for yx(420)=3x equation: 


Simplifying
yx(420) = 3x

Reorder the terms for easier multiplication:
420xy = 3x

Solving
420xy = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3x + 420xy = 3x + -3x

Combine like terms: 3x + -3x = 0
-3x + 420xy = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + 140y) = 0

Ignore the factor 3.

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 '(-1 + 140y)' equal to zero and attempt to solve:

Simplifying
-1 + 140y = 0

Solving
-1 + 140y = 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 + 140y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 140y = 0 + 1
140y = 0 + 1

Combine like terms: 0 + 1 = 1
140y = 1

Add '-140y' to each side of the equation.
140y + -140y = 1 + -140y

Combine like terms: 140y + -140y = 0
0 = 1 + -140y

Simplifying
0 = 1 + -140y

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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