15h^2-22hj-5j^2=0

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Solution for 15h^2-22hj-5j^2=0 equation: 


Simplifying
15h2 + -22hj + -5j2 = 0

Reorder the terms:
-22hj + 15h2 + -5j2 = 0

Solving
-22hj + 15h2 + -5j2 = 0

Solving for variable 'h'.

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


Subproblem 1
Set the factor '(3h + -5j)' equal to zero and attempt to solve:

Simplifying
3h + -5j = 0

Solving
3h + -5j = 0

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

Add '5j' to each side of the equation.
3h + -5j + 5j = 0 + 5j

Combine like terms: -5j + 5j = 0
3h + 0 = 0 + 5j
3h = 0 + 5j
Remove the zero:
3h = 5j

Divide each side by '3'.
h = 1.666666667j

Simplifying
h = 1.666666667j

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 = {1.666666667j, -0.2j}

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