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Simplifying h2 + 3hj + -88j2 = 0 Reorder the terms: 3hj + h2 + -88j2 = 0 Solving 3hj + h2 + -88j2 = 0 Solving for variable 'h'. Factor a trinomial. (h + -8j)(h + 11j) = 0Subproblem 1
Set the factor '(h + -8j)' equal to zero and attempt to solve: Simplifying h + -8j = 0 Solving h + -8j = 0 Move all terms containing h to the left, all other terms to the right. Add '8j' to each side of the equation. h + -8j + 8j = 0 + 8j Combine like terms: -8j + 8j = 0 h + 0 = 0 + 8j h = 0 + 8j Remove the zero: h = 8j Simplifying h = 8jSubproblem 2
Set the factor '(h + 11j)' equal to zero and attempt to solve: Simplifying h + 11j = 0 Solving h + 11j = 0 Move all terms containing h to the left, all other terms to the right. Add '-11j' to each side of the equation. h + 11j + -11j = 0 + -11j Combine like terms: 11j + -11j = 0 h + 0 = 0 + -11j h = 0 + -11j Remove the zero: h = -11j Simplifying h = -11jSolution
h = {8j, -11j}
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