2kh^2-4kh+5k=0

Solution for 2kh^2-4kh+5k=0 equation:

Simplifying
2kh2 + -4kh + 5k = 0

Reorder the terms:
-4hk + 2h2k + 5k = 0

Solving
-4hk + 2h2k + 5k = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-4h + 2h2 + 5) = 0

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

Simplifying
k = 0

Solving
k = 0

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

Add '-1k' to each side of the equation.
k + -1k = 0 + -1k
Remove the zero:
0 = -1k

Simplifying
0 = -1k

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-4h + 2h2 + 5)' equal to zero and attempt to solve:

Simplifying
-4h + 2h2 + 5 = 0

Reorder the terms:
5 + -4h + 2h2 = 0

Solving
5 + -4h + 2h2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
2.5 + -2h + h2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2h + -2.5 + h2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2h + h2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2h + h2 = 0 + -2.5
-2h + h2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2h + h2 = -2.5

The h term is -2h.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2h + 1 + h2 = -2.5 + 1

Reorder the terms:
1 + -2h + h2 = -2.5 + 1

Combine like terms: -2.5 + 1 = -1.5
1 + -2h + h2 = -1.5

Factor a perfect square on the left side:
(h + -1)(h + -1) = -1.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.