(10xy+3x)+(2xy-5x+6xy)=

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Solution for (10xy+3x)+(2xy-5x+6xy)= equation: 


Simplifying
(10xy + 3x) + (2xy + -5x + 6xy) = 0

Reorder the terms:
(3x + 10xy) + (2xy + -5x + 6xy) = 0

Remove parenthesis around (3x + 10xy)
3x + 10xy + (2xy + -5x + 6xy) = 0

Reorder the terms:
3x + 10xy + (-5x + 2xy + 6xy) = 0

Combine like terms: 2xy + 6xy = 8xy
3x + 10xy + (-5x + 8xy) = 0

Remove parenthesis around (-5x + 8xy)
3x + 10xy + -5x + 8xy = 0

Reorder the terms:
3x + -5x + 10xy + 8xy = 0

Combine like terms: 3x + -5x = -2x
-2x + 10xy + 8xy = 0

Combine like terms: 10xy + 8xy = 18xy
-2x + 18xy = 0

Solving
-2x + 18xy = 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(-1 + 9y) = 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 '(-1 + 9y)' equal to zero and attempt to solve:

Simplifying
-1 + 9y = 0

Solving
-1 + 9y = 0

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

Add '1' to each side of the equation.
-1 + 1 + 9y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9y = 0 + 1
9y = 0 + 1

Combine like terms: 0 + 1 = 1
9y = 1

Add '-9y' to each side of the equation.
9y + -9y = 1 + -9y

Combine like terms: 9y + -9y = 0
0 = 1 + -9y

Simplifying
0 = 1 + -9y

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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