X+(2X)=(12X*Y)100Y

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Solution for X+(2X)=(12X*Y)100Y equation: 


Simplifying
X + (2X) = (12X * Y) * 100Y

Combine like terms: X + (2X) = 3X
3X = (12X * Y) * 100Y

Multiply X * Y
3X = (12XY) * 100Y

Remove parenthesis around (12XY)
3X = 12XY * 100Y

Reorder the terms for easier multiplication:
3X = 12 * 100XY * Y

Multiply 12 * 100
3X = 1200XY * Y

Multiply XY * Y
3X = 1200XY2

Solving
3X = 1200XY2

Solving for variable 'X'.

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

Add '-1200XY2' to each side of the equation.
3X + -1200XY2 = 1200XY2 + -1200XY2

Combine like terms: 1200XY2 + -1200XY2 = 0
3X + -1200XY2 = 0

Factor out the Greatest Common Factor (GCF), '3X'.
3X(1 + -400Y2) = 0

Factor a difference between two squares.
3X((1 + 20Y)(1 + -20Y)) = 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 + 20Y)' equal to zero and attempt to solve:

Simplifying
1 + 20Y = 0

Solving
1 + 20Y = 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 + 20Y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 20Y = 0 + -1
20Y = 0 + -1

Combine like terms: 0 + -1 = -1
20Y = -1

Add '-20Y' to each side of the equation.
20Y + -20Y = -1 + -20Y

Combine like terms: 20Y + -20Y = 0
0 = -1 + -20Y

Simplifying
0 = -1 + -20Y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(1 + -20Y)' equal to zero and attempt to solve:

Simplifying
1 + -20Y = 0

Solving
1 + -20Y = 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 + -20Y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -20Y = 0 + -1
-20Y = 0 + -1

Combine like terms: 0 + -1 = -1
-20Y = -1

Add '20Y' to each side of the equation.
-20Y + 20Y = -1 + 20Y

Combine like terms: -20Y + 20Y = 0
0 = -1 + 20Y

Simplifying
0 = -1 + 20Y

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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