(k-4h)(4h+k)=0

Solution for (k-4h)(4h+k)=0 equation:

Simplifying
(k + -4h)(4h + k) = 0

Reorder the terms:
(-4h + k)(4h + k) = 0

Multiply (-4h + k) * (4h + k)
(-4h * (4h + k) + k(4h + k)) = 0
((4h * -4h + k * -4h) + k(4h + k)) = 0

Reorder the terms:
((-4hk + -16h2) + k(4h + k)) = 0
((-4hk + -16h2) + k(4h + k)) = 0
(-4hk + -16h2 + (4h * k + k * k)) = 0
(-4hk + -16h2 + (4hk + k2)) = 0

Reorder the terms:
(-4hk + 4hk + -16h2 + k2) = 0

Combine like terms: -4hk + 4hk = 0
(0 + -16h2 + k2) = 0
(-16h2 + k2) = 0

Solving
-16h2 + k2 = 0

Solving for variable 'h'.

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

Add '-1k2' to each side of the equation.
-16h2 + k2 + -1k2 = 0 + -1k2

Combine like terms: k2 + -1k2 = 0
-16h2 + 0 = 0 + -1k2
-16h2 = 0 + -1k2
Remove the zero:
-16h2 = -1k2

Divide each side by '-16'.
h2 = 0.0625k2

Simplifying
h2 = 0.0625k2

Take the square root of each side:
h = {-0.25k, 0.25k}