H=2HK+2HG

Solution for H=2HK+2HG equation:

Simplifying
H = 2HK + 2HG

Reorder the terms:
H = 2GH + 2HK

Solving
H = 2GH + 2HK

Solving for variable 'H'.

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

Add '-2GH' to each side of the equation.
-2GH + H = 2GH + -2GH + 2HK

Combine like terms: 2GH + -2GH = 0
-2GH + H = 0 + 2HK
-2GH + H = 2HK

Add '-2HK' to each side of the equation.
-2GH + H + -2HK = 2HK + -2HK

Combine like terms: 2HK + -2HK = 0
-2GH + H + -2HK = 0

Factor out the Greatest Common Factor (GCF), 'H'.
H(-2G + 1 + -2K) = 0

Subproblem 1
Set the factor 'H' equal to zero and attempt to solve:

Simplifying
H = 0

Solving
H = 0

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

Simplifying
H = 0
Subproblem 2
Set the factor '(-2G + 1 + -2K)' equal to zero and attempt to solve:

Simplifying
-2G + 1 + -2K = 0

Reorder the terms:
1 + -2G + -2K = 0

Solving
1 + -2G + -2K = 0

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

Add '-1' to each side of the equation.
1 + -2G + -1 + -2K = 0 + -1

Reorder the terms:
1 + -1 + -2G + -2K = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2G + -2K = 0 + -1
-2G + -2K = 0 + -1

Combine like terms: 0 + -1 = -1
-2G + -2K = -1

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

Combine like terms: -2G + 2G = 0
0 + -2K = -1 + 2G
-2K = -1 + 2G

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

Combine like terms: -2K + 2K = 0
0 = -1 + 2G + 2K

Simplifying
0 = -1 + 2G + 2K

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
H = {0}