10h^2-13hj-3j^2=0

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Solution for 10h^2-13hj-3j^2=0 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}

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