4xy+3x(2+5y)-7xy=

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Solution for 4xy+3x(2+5y)-7xy= equation: 


Simplifying
4xy + 3x(2 + 5y) + -7xy = 0
4xy + (2 * 3x + 5y * 3x) + -7xy = 0
4xy + (6x + 15xy) + -7xy = 0

Reorder the terms:
6x + 4xy + 15xy + -7xy = 0

Combine like terms: 4xy + 15xy = 19xy
6x + 19xy + -7xy = 0

Combine like terms: 19xy + -7xy = 12xy
6x + 12xy = 0

Solving
6x + 12xy = 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), '6x'.
6x(1 + 2y) = 0

Ignore the factor 6.

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 + 2y)' equal to zero and attempt to solve:

Simplifying
1 + 2y = 0

Solving
1 + 2y = 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 + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = 0 + -1
2y = 0 + -1

Combine like terms: 0 + -1 = -1
2y = -1

Add '-2y' to each side of the equation.
2y + -2y = -1 + -2y

Combine like terms: 2y + -2y = 0
0 = -1 + -2y

Simplifying
0 = -1 + -2y

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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