2x(10y)=40x

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Solution for 2x(10y)=40x equation: 


Simplifying
2x(10y) = 40x

Remove parenthesis around (10y)
2x * 10y = 40x

Reorder the terms for easier multiplication:
2 * 10x * y = 40x

Multiply 2 * 10
20x * y = 40x

Multiply x * y
20xy = 40x

Solving
20xy = 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-40x + 20xy = 40x + -40x

Combine like terms: 40x + -40x = 0
-40x + 20xy = 0

Factor out the Greatest Common Factor (GCF), '20x'.
20x(-2 + y) = 0

Ignore the factor 20.

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

Simplifying
-2 + y = 0

Solving
-2 + y = 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 + y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + y = 0 + 2
y = 0 + 2

Combine like terms: 0 + 2 = 2
y = 2

Add '-1y' to each side of the equation.
y + -1y = 2 + -1y

Combine like terms: y + -1y = 0
0 = 2 + -1y

Simplifying
0 = 2 + -1y

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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