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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