H(x)=0.5x

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Solution for H(x)=0.5x equation: 


Simplifying
H(x) = 0.5x

Multiply H * x
xH = 0.5x

Solving
xH = 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-0.5x + xH = 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-0.5x + xH = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-0.5 + H) = 0.0


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 '(-0.5 + H)' equal to zero and attempt to solve:

Simplifying
-0.5 + H = 0

Solving
-0.5 + H = 0

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + H = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + H = 0 + 0.5
H = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
H = 0.5

Add '-1H' to each side of the equation.
H + -1H = 0.5 + -1H

Combine like terms: H + -1H = 0
0 = 0.5 + -1H

Simplifying
0 = 0.5 + -1H

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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