65X*6Y=20X

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Solution for 65X*6Y=20X equation: 


Simplifying
65X * 6Y = 20X

Reorder the terms for easier multiplication:
65 * 6X * Y = 20X

Multiply 65 * 6
390X * Y = 20X

Multiply X * Y
390XY = 20X

Solving
390XY = 20X

Solving for variable 'X'.

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

Add '-20X' to each side of the equation.
-20X + 390XY = 20X + -20X

Combine like terms: 20X + -20X = 0
-20X + 390XY = 0

Factor out the Greatest Common Factor (GCF), '10X'.
10X(-2 + 39Y) = 0

Ignore the factor 10.

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 '(-2 + 39Y)' equal to zero and attempt to solve:

Simplifying
-2 + 39Y = 0

Solving
-2 + 39Y = 0

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

Add '2' to each side of the equation.
-2 + 2 + 39Y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 39Y = 0 + 2
39Y = 0 + 2

Combine like terms: 0 + 2 = 2
39Y = 2

Add '-39Y' to each side of the equation.
39Y + -39Y = 2 + -39Y

Combine like terms: 39Y + -39Y = 0
0 = 2 + -39Y

Simplifying
0 = 2 + -39Y

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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