-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(2 + x)(5xy + -1x) = 0

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

Multiply (2 + x) * (-1x + 5xy)
-4(2(-1x + 5xy) + x(-1x + 5xy)) = 0
-4((-1x * 2 + 5xy * 2) + x(-1x + 5xy)) = 0
-4((-2x + 10xy) + x(-1x + 5xy)) = 0
-4(-2x + 10xy + (-1x * x + 5xy * x)) = 0
-4(-2x + 10xy + (-1x2 + 5x2y)) = 0
-4(-2x + 10xy + -1x2 + 5x2y) = 0
(-2x * -4 + 10xy * -4 + -1x2 * -4 + 5x2y * -4) = 0
(8x + -40xy + 4x2 + -20x2y) = 0

Solving
8x + -40xy + 4x2 + -20x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(2 + -10y + x + -5xy) = 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 '(2 + -10y + x + -5xy)' equal to zero and attempt to solve:

Simplifying
2 + -10y + x + -5xy = 0

Reorder the terms:
2 + x + -5xy + -10y = 0

Solving
2 + x + -5xy + -10y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + x + -5xy + -2 + -10y = 0 + -2

Reorder the terms:
2 + -2 + x + -5xy + -10y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x + -5xy + -10y = 0 + -2
x + -5xy + -10y = 0 + -2

Combine like terms: 0 + -2 = -2
x + -5xy + -10y = -2

Add '10y' to each side of the equation.
x + -5xy + -10y + 10y = -2 + 10y

Combine like terms: -10y + 10y = 0
x + -5xy + 0 = -2 + 10y
x + -5xy = -2 + 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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