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

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Solution for 3(x-5x)+2(xy+8x)+(-8xy)=0 equation: 


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

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

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

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

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

Combine like terms: -12x + 16x = 4x
4x + 2xy + (-8xy) = 0

Combine like terms: 2xy + (-8xy) = -6xy
4x + -6xy = 0

Solving
4x + -6xy = 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), '2x'.
2x(2 + -3y) = 0

Ignore the factor 2.

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 + -3y)' equal to zero and attempt to solve:

Simplifying
2 + -3y = 0

Solving
2 + -3y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3y = 0 + -2
-3y = 0 + -2

Combine like terms: 0 + -2 = -2
-3y = -2

Add '3y' to each side of the equation.
-3y + 3y = -2 + 3y

Combine like terms: -3y + 3y = 0
0 = -2 + 3y

Simplifying
0 = -2 + 3y

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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