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

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


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

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

Solving
14x + -12xy + -14xz = 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 + -7z) = 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 + -7z)' equal to zero and attempt to solve:

Simplifying
7 + -6y + -7z = 0

Solving
7 + -6y + -7z = 0

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

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

Reorder the terms:
7 + -7 + -6y + -7z = 0 + -7

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

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

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

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

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

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

Simplifying
0 = -7 + 6y + 7z

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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