(5h-2j)(3h+j)=

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Solution for (5h-2j)(3h+j)= equation: 


Simplifying
(5h + -2j)(3h + j) = 0

Multiply (5h + -2j) * (3h + j)
(5h * (3h + j) + -2j * (3h + j)) = 0
((3h * 5h + j * 5h) + -2j * (3h + j)) = 0

Reorder the terms:
((5hj + 15h2) + -2j * (3h + j)) = 0
((5hj + 15h2) + -2j * (3h + j)) = 0
(5hj + 15h2 + (3h * -2j + j * -2j)) = 0
(5hj + 15h2 + (-6hj + -2j2)) = 0

Reorder the terms:
(5hj + -6hj + 15h2 + -2j2) = 0

Combine like terms: 5hj + -6hj = -1hj
(-1hj + 15h2 + -2j2) = 0

Solving
-1hj + 15h2 + -2j2 = 0

Solving for variable 'h'.

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


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

Simplifying
5h + -2j = 0

Solving
5h + -2j = 0

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

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

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

Divide each side by '5'.
h = 0.4j

Simplifying
h = 0.4j

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

Simplifying
3h + j = 0

Solving
3h + j = 0

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

Add '-1j' to each side of the equation.
3h + j + -1j = 0 + -1j

Combine like terms: j + -1j = 0
3h + 0 = 0 + -1j
3h = 0 + -1j
Remove the zero:
3h = -1j

Divide each side by '3'.
h = -0.3333333333j

Simplifying
h = -0.3333333333j
Solution
h = {0.4j, -0.3333333333j}

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