513x+513x=1206y(513x+513x)

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Solution for 513x+513x=1206y(513x+513x) equation: 


Simplifying
513x + 513x = 1206y(513x + 513x)

Combine like terms: 513x + 513x = 1026x
1026x = 1206y(513x + 513x)

Combine like terms: 513x + 513x = 1026x
1026x = 1206y(1026x)

Remove parenthesis around (1026x)
1026x = 1206y * 1026x

Reorder the terms for easier multiplication:
1026x = 1206 * 1026y * x

Multiply 1206 * 1026
1026x = 1237356y * x

Multiply y * x
1026x = 1237356xy

Solving
1026x = 1237356xy

Solving for variable 'x'.

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

Add '-1237356xy' to each side of the equation.
1026x + -1237356xy = 1237356xy + -1237356xy

Combine like terms: 1237356xy + -1237356xy = 0
1026x + -1237356xy = 0

Factor out the Greatest Common Factor (GCF), '1026x'.
1026x(1 + -1206y) = 0

Ignore the factor 1026.

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 + -1206y)' equal to zero and attempt to solve:

Simplifying
1 + -1206y = 0

Solving
1 + -1206y = 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 + -1206y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1206y = 0 + -1
-1206y = 0 + -1

Combine like terms: 0 + -1 = -1
-1206y = -1

Add '1206y' to each side of the equation.
-1206y + 1206y = -1 + 1206y

Combine like terms: -1206y + 1206y = 0
0 = -1 + 1206y

Simplifying
0 = -1 + 1206y

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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