5xy(8x+y)=

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Solution for 5xy(8x+y)= equation: 


Simplifying
5xy(8x + y) = 0
(8x * 5xy + y * 5xy) = 0

Reorder the terms:
(5xy2 + 40x2y) = 0
(5xy2 + 40x2y) = 0

Solving
5xy2 + 40x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5xy'.
5xy(y + 8x) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(y + 8x)' equal to zero and attempt to solve:

Simplifying
y + 8x = 0

Reorder the terms:
8x + y = 0

Solving
8x + y = 0

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

Add '-1y' to each side of the equation.
8x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
8x + 0 = 0 + -1y
8x = 0 + -1y
Remove the zero:
8x = -1y

Divide each side by '8'.
x = -0.125y

Simplifying
x = -0.125y
Solution
x = {-0.125y}

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