x^2+2xy-9x=0

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Solution for x^2+2xy-9x=0 equation: 


Simplifying
x2 + 2xy + -9x = 0

Reorder the terms:
-9x + 2xy + x2 = 0

Solving
-9x + 2xy + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9 + 2y + 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 '(-9 + 2y + x)' equal to zero and attempt to solve:

Simplifying
-9 + 2y + x = 0

Reorder the terms:
-9 + x + 2y = 0

Solving
-9 + x + 2y = 0

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

Add '9' to each side of the equation.
-9 + x + 9 + 2y = 0 + 9

Reorder the terms:
-9 + 9 + x + 2y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + x + 2y = 0 + 9
x + 2y = 0 + 9

Combine like terms: 0 + 9 = 9
x + 2y = 9

Add '-2y' to each side of the equation.
x + 2y + -2y = 9 + -2y

Combine like terms: 2y + -2y = 0
x + 0 = 9 + -2y
x = 9 + -2y

Simplifying
x = 9 + -2y
Solution
x = {0, 9 + -2y}

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