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

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