Dx+Gx=Kforx

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Solution for Dx+Gx=Kforx equation: 


Simplifying
Dx + Gx = Kforx

Solving
xD + xG = forxK

Solving for variable 'x'.

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

Add '-1forxK' to each side of the equation.
xD + -1forxK + xG = forxK + -1forxK

Reorder the terms:
-1forxK + xD + xG = forxK + -1forxK

Combine like terms: forxK + -1forxK = 0
-1forxK + xD + xG = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1forK + D + G) = 0


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 '(-1forK + D + G)' equal to zero and attempt to solve:

Simplifying
-1forK + D + G = 0

Reorder the terms:
D + G + -1forK = 0

Solving
D + G + -1forK = 0

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

Add '-1D' to each side of the equation.
D + G + -1D + -1forK = 0 + -1D

Reorder the terms:
D + -1D + G + -1forK = 0 + -1D

Combine like terms: D + -1D = 0
0 + G + -1forK = 0 + -1D
G + -1forK = 0 + -1D
Remove the zero:
G + -1forK = -1D

Add '-1G' to each side of the equation.
G + -1G + -1forK = -1D + -1G

Combine like terms: G + -1G = 0
0 + -1forK = -1D + -1G
-1forK = -1D + -1G

Add 'forK' to each side of the equation.
-1forK + forK = -1D + -1G + forK

Combine like terms: -1forK + forK = 0
0 = -1D + -1G + forK

Simplifying
0 = -1D + -1G + forK

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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