x(x+y+8)=0

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Solution for x(x+y+8)=0 equation: 


Simplifying
x(x + y + 8) = 0

Reorder the terms:
x(8 + x + y) = 0
(8 * x + x * x + y * x) = 0

Reorder the terms:
(8x + xy + x2) = 0
(8x + xy + x2) = 0

Solving
8x + xy + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + y + x) = 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 '(8 + y + x)' equal to zero and attempt to solve:

Simplifying
8 + y + x = 0

Reorder the terms:
8 + x + y = 0

Solving
8 + x + y = 0

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

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

Reorder the terms:
8 + -8 + x + y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x + y = 0 + -8
x + y = 0 + -8

Combine like terms: 0 + -8 = -8
x + y = -8

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

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

Simplifying
x = -8 + -1y
Solution
x = {0, -8 + -1y}

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