(4h+k)(4h-3k)=

Solution for (4h+k)(4h-3k)= equation:

Simplifying
(4h + k)(4h + -3k) = 0

Multiply (4h + k) * (4h + -3k)
(4h * (4h + -3k) + k(4h + -3k)) = 0
((4h * 4h + -3k * 4h) + k(4h + -3k)) = 0

Reorder the terms:
((-12hk + 16h2) + k(4h + -3k)) = 0
((-12hk + 16h2) + k(4h + -3k)) = 0
(-12hk + 16h2 + (4h * k + -3k * k)) = 0
(-12hk + 16h2 + (4hk + -3k2)) = 0

Reorder the terms:
(-12hk + 4hk + 16h2 + -3k2) = 0

Combine like terms: -12hk + 4hk = -8hk
(-8hk + 16h2 + -3k2) = 0

Solving
-8hk + 16h2 + -3k2 = 0

Solving for variable 'h'.

Factor a trinomial.
(4h + -3k)(4h + k) = 0

Subproblem 1
Set the factor '(4h + -3k)' equal to zero and attempt to solve:

Simplifying
4h + -3k = 0

Solving
4h + -3k = 0

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

Add '3k' to each side of the equation.
4h + -3k + 3k = 0 + 3k

Combine like terms: -3k + 3k = 0
4h + 0 = 0 + 3k
4h = 0 + 3k
Remove the zero:
4h = 3k

Divide each side by '4'.
h = 0.75k

Simplifying
h = 0.75k
Subproblem 2
Set the factor '(4h + k)' equal to zero and attempt to solve:

Simplifying
4h + k = 0

Solving
4h + k = 0

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

Add '-1k' to each side of the equation.
4h + k + -1k = 0 + -1k

Combine like terms: k + -1k = 0
4h + 0 = 0 + -1k
4h = 0 + -1k
Remove the zero:
4h = -1k

Divide each side by '4'.
h = -0.25k

Simplifying
h = -0.25k
Solution
h = {0.75k, -0.25k}