-5x(4xy+5y-4x)=

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Solution for -5x(4xy+5y-4x)= equation: 


Simplifying
-5x(4xy + 5y + -4x) = 0

Reorder the terms:
-5x(-4x + 4xy + 5y) = 0
(-4x * -5x + 4xy * -5x + 5y * -5x) = 0

Reorder the terms:
(-25xy + 20x2 + -20x2y) = 0
(-25xy + 20x2 + -20x2y) = 0

Solving
-25xy + 20x2 + -20x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-5y + 4x + -4xy) = 0

Ignore the factor 5.

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 '(-5y + 4x + -4xy)' equal to zero and attempt to solve:

Simplifying
-5y + 4x + -4xy = 0

Reorder the terms:
4x + -4xy + -5y = 0

Solving
4x + -4xy + -5y = 0

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

Add '5y' to each side of the equation.
4x + -4xy + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
4x + -4xy + 0 = 0 + 5y
4x + -4xy = 0 + 5y
Remove the zero:
4x + -4xy = 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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