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

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}