0=2xy-2xz

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Solution for 0=2xy-2xz equation:


Simplifying
0 = 2xy + -2xz

Solving
0 = 2xy + -2xz

Solving for variable 'x'.

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

Add '-2xy' to each side of the equation.
0 + -2xy = 2xy + -2xy + -2xz
Remove the zero:
-2xy = 2xy + -2xy + -2xz

Combine like terms: 2xy + -2xy = 0
-2xy = 0 + -2xz
-2xy = -2xz

Add '2xz' to each side of the equation.
-2xy + 2xz = -2xz + 2xz

Combine like terms: -2xz + 2xz = 0
-2xy + 2xz = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1y + z) = 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 '(-1y + z)' equal to zero and attempt to solve: Simplifying -1y + z = 0 Solving -1y + z = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -1y + y + z = 0 + y Combine like terms: -1y + y = 0 0 + z = 0 + y z = 0 + y Remove the zero: z = y Add '-1z' to each side of the equation. z + -1z = y + -1z Combine like terms: z + -1z = 0 0 = y + -1z Simplifying 0 = y + -1z 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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