-2[3x+3(-10xy+3x)]=

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Solution for -2[3x+3(-10xy+3x)]= equation: 


Simplifying
-2[3x + 3(-10xy + 3x)] = 0

Reorder the terms:
-2[3x + 3(3x + -10xy)] = 0
-2[3x + (3x * 3 + -10xy * 3)] = 0
-2[3x + (9x + -30xy)] = 0

Combine like terms: 3x + 9x = 12x
-2[12x + -30xy] = 0
[12x * -2 + -30xy * -2] = 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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