3(x-5x)+2(xy+8x)+(-xy)=

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Solution for 3(x-5x)+2(xy+8x)+(-xy)= equation: 


Simplifying
3(x + -5x) + 2(xy + 8x) + (-1xy) = 0

Combine like terms: x + -5x = -4x
3(-4x) + 2(xy + 8x) + (-1xy) = 0

Remove parenthesis around (-4x)
3 * -4x + 2(xy + 8x) + (-1xy) = 0

Multiply 3 * -4
-12x + 2(xy + 8x) + (-1xy) = 0

Reorder the terms:
-12x + 2(8x + xy) + (-1xy) = 0
-12x + (8x * 2 + xy * 2) + (-1xy) = 0
-12x + (16x + 2xy) + (-1xy) = 0

Combine like terms: -12x + 16x = 4x
4x + 2xy + (-1xy) = 0

Combine like terms: 2xy + (-1xy) = 1xy
4x + 1xy = 0

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


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 '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 0

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

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

Combine like terms: 4 + -4 = 0
0 + y = 0 + -4
y = 0 + -4

Combine like terms: 0 + -4 = -4
y = -4

Add '-1y' to each side of the equation.
y + -1y = -4 + -1y

Combine like terms: y + -1y = 0
0 = -4 + -1y

Simplifying
0 = -4 + -1y

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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