4x+3(5x)4y-x=

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Solution for 4x+3(5x)4y-x= equation: 


Simplifying
4x + 3(5x) * 4y + -1x = 0

Remove parenthesis around (5x)
4x + 3 * 5x * 4y + -1x = 0

Reorder the terms for easier multiplication:
4x + 3 * 5 * 4x * y + -1x = 0

Multiply 3 * 5
4x + 15 * 4x * y + -1x = 0

Multiply 15 * 4
4x + 60x * y + -1x = 0

Multiply x * y
4x + 60xy + -1x = 0

Reorder the terms:
4x + -1x + 60xy = 0

Combine like terms: 4x + -1x = 3x
3x + 60xy = 0

Solving
3x + 60xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '3x'.
3x(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.
Solution
x = {0}

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