10h^2-13hj-3j^2=

Solution for 10h^2-13hj-3j^2= equation:

Simplifying
10h2 + -13hj + -3j2 = 0

Reorder the terms:
-13hj + 10h2 + -3j2 = 0

Solving
-13hj + 10h2 + -3j2 = 0

Solving for variable 'h'.

Factor a trinomial.
(2h + -3j)(5h + j) = 0

Subproblem 1
Set the factor '(2h + -3j)' equal to zero and attempt to solve:

Simplifying
2h + -3j = 0

Solving
2h + -3j = 0

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

Add '3j' to each side of the equation.
2h + -3j + 3j = 0 + 3j

Combine like terms: -3j + 3j = 0
2h + 0 = 0 + 3j
2h = 0 + 3j
Remove the zero:
2h = 3j

Divide each side by '2'.
h = 1.5j

Simplifying
h = 1.5j
Subproblem 2
Set the factor '(5h + j)' equal to zero and attempt to solve:

Simplifying
5h + j = 0

Solving
5h + j = 0

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

Add '-1j' to each side of the equation.
5h + j + -1j = 0 + -1j

Combine like terms: j + -1j = 0
5h + 0 = 0 + -1j
5h = 0 + -1j
Remove the zero:
5h = -1j

Divide each side by '5'.
h = -0.2j

Simplifying
h = -0.2j
Solution
h = {1.5j, -0.2j}