5x-(7xy-2y)-2(3x+5xy+y)=

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Solution for 5x-(7xy-2y)-2(3x+5xy+y)= equation: 


Simplifying
5x + -1(7xy + -2y) + -2(3x + 5xy + y) = 0
5x + (7xy * -1 + -2y * -1) + -2(3x + 5xy + y) = 0
5x + (-7xy + 2y) + -2(3x + 5xy + y) = 0
5x + -7xy + 2y + (3x * -2 + 5xy * -2 + y * -2) = 0
5x + -7xy + 2y + (-6x + -10xy + -2y) = 0

Reorder the terms:
5x + -6x + -7xy + -10xy + 2y + -2y = 0

Combine like terms: 5x + -6x = -1x
-1x + -7xy + -10xy + 2y + -2y = 0

Combine like terms: -7xy + -10xy = -17xy
-1x + -17xy + 2y + -2y = 0

Combine like terms: 2y + -2y = 0
-1x + -17xy + 0 = 0
-1x + -17xy = 0

Solving
-1x + -17xy = 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), '-1x'.
-1x(1 + 17y) = 0

Ignore the factor -1.

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 + 17y)' equal to zero and attempt to solve:

Simplifying
1 + 17y = 0

Solving
1 + 17y = 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 + 17y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 17y = 0 + -1
17y = 0 + -1

Combine like terms: 0 + -1 = -1
17y = -1

Add '-17y' to each side of the equation.
17y + -17y = -1 + -17y

Combine like terms: 17y + -17y = 0
0 = -1 + -17y

Simplifying
0 = -1 + -17y

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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