28h^2-17hj-3j^2=

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Solution for 28h^2-17hj-3j^2= equation:


Simplifying
28h2 + -17hj + -3j2 = 0

Reorder the terms:
-17hj + 28h2 + -3j2 = 0

Solving
-17hj + 28h2 + -3j2 = 0

Solving for variable 'h'.

Factor a trinomial.
(4h + -3j)(7h + j) = 0

Subproblem 1

Set the factor '(4h + -3j)' equal to zero and attempt to solve: Simplifying 4h + -3j = 0 Solving 4h + -3j = 0 Move all terms containing h to the left, all other terms to the right. Add '3j' to each side of the equation. 4h + -3j + 3j = 0 + 3j Combine like terms: -3j + 3j = 0 4h + 0 = 0 + 3j 4h = 0 + 3j Remove the zero: 4h = 3j Divide each side by '4'. h = 0.75j Simplifying h = 0.75j

Subproblem 2

Set the factor '(7h + j)' equal to zero and attempt to solve: Simplifying 7h + j = 0 Solving 7h + j = 0 Move all terms containing h to the left, all other terms to the right. Add '-1j' to each side of the equation. 7h + j + -1j = 0 + -1j Combine like terms: j + -1j = 0 7h + 0 = 0 + -1j 7h = 0 + -1j Remove the zero: 7h = -1j Divide each side by '7'. h = -0.1428571429j Simplifying h = -0.1428571429j

Solution

h = {0.75j, -0.1428571429j}

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