8h^2-18hj-5j^2=

Solution for 8h^2-18hj-5j^2= equation:

Simplifying
8h2 + -18hj + -5j2 = 0

Reorder the terms:
-18hj + 8h2 + -5j2 = 0

Solving
-18hj + 8h2 + -5j2 = 0

Solving for variable 'h'.

Factor a trinomial.
(2h + -5j)(4h + j) = 0

Subproblem 1
Set the factor '(2h + -5j)' equal to zero and attempt to solve:

Simplifying
2h + -5j = 0

Solving
2h + -5j = 0

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

Add '5j' to each side of the equation.
2h + -5j + 5j = 0 + 5j

Combine like terms: -5j + 5j = 0
2h + 0 = 0 + 5j
2h = 0 + 5j
Remove the zero:
2h = 5j

Divide each side by '2'.
h = 2.5j

Simplifying
h = 2.5j
Subproblem 2
Set the factor '(4h + j)' equal to zero and attempt to solve:

Simplifying
4h + j = 0

Solving
4h + j = 0

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

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

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

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

Simplifying
h = -0.25j
Solution
h = {2.5j, -0.25j}