2x(7+y)-14x(y+2)=

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Solution for 2x(7+y)-14x(y+2)= equation: 


Simplifying
2x(7 + y) + -14x(y + 2) = 0
(7 * 2x + y * 2x) + -14x(y + 2) = 0
(14x + 2xy) + -14x(y + 2) = 0

Reorder the terms:
14x + 2xy + -14x(2 + y) = 0
14x + 2xy + (2 * -14x + y * -14x) = 0
14x + 2xy + (-28x + -14xy) = 0

Reorder the terms:
14x + -28x + 2xy + -14xy = 0

Combine like terms: 14x + -28x = -14x
-14x + 2xy + -14xy = 0

Combine like terms: 2xy + -14xy = -12xy
-14x + -12xy = 0

Solving
-14x + -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), '-2x'.
-2x(7 + 6y) = 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 '(7 + 6y)' equal to zero and attempt to solve:

Simplifying
7 + 6y = 0

Solving
7 + 6y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6y = 0 + -7
6y = 0 + -7

Combine like terms: 0 + -7 = -7
6y = -7

Add '-6y' to each side of the equation.
6y + -6y = -7 + -6y

Combine like terms: 6y + -6y = 0
0 = -7 + -6y

Simplifying
0 = -7 + -6y

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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