-4[x+2(5xy-x)]=

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Solution for -4[x+2(5xy-x)]= equation: 


Simplifying
-4[x + 2(5xy + -1x)] = 0

Reorder the terms:
-4[x + 2(-1x + 5xy)] = 0
-4[x + (-1x * 2 + 5xy * 2)] = 0
-4[x + (-2x + 10xy)] = 0

Combine like terms: x + -2x = -1x
-4[-1x + 10xy] = 0
[-1x * -4 + 10xy * -4] = 0
[4x + -40xy] = 0

Solving
4x + -40xy = 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), '4x'.
4x(1 + -10y) = 0

Ignore the factor 4.

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 + -10y)' equal to zero and attempt to solve:

Simplifying
1 + -10y = 0

Solving
1 + -10y = 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 + -10y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10y = 0 + -1
-10y = 0 + -1

Combine like terms: 0 + -1 = -1
-10y = -1

Add '10y' to each side of the equation.
-10y + 10y = -1 + 10y

Combine like terms: -10y + 10y = 0
0 = -1 + 10y

Simplifying
0 = -1 + 10y

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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