-4(x+5(-3xy+x))=0

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Solution for -4(x+5(-3xy+x))=0 equation: 


Simplifying
-4(x + 5(-3xy + x)) = 0

Reorder the terms:
-4(x + 5(x + -3xy)) = 0
-4(x + (x * 5 + -3xy * 5)) = 0
-4(x + (5x + -15xy)) = 0

Combine like terms: x + 5x = 6x
-4(6x + -15xy) = 0
(6x * -4 + -15xy * -4) = 0
(-24x + 60xy) = 0

Solving
-24x + 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), '12x'.
12x(-2 + 5y) = 0

Ignore the factor 12.

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 + 5y)' equal to zero and attempt to solve:

Simplifying
-2 + 5y = 0

Solving
-2 + 5y = 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 + 5y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5y = 0 + 2
5y = 0 + 2

Combine like terms: 0 + 2 = 2
5y = 2

Add '-5y' to each side of the equation.
5y + -5y = 2 + -5y

Combine like terms: 5y + -5y = 0
0 = 2 + -5y

Simplifying
0 = 2 + -5y

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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