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Simplifying h2 + 18hj + 17j2 = 0 Reorder the terms: 18hj + h2 + 17j2 = 0 Solving 18hj + h2 + 17j2 = 0 Solving for variable 'h'. Factor a trinomial. (h + j)(h + 17j) = 0Subproblem 1
Set the factor '(h + j)' equal to zero and attempt to solve: Simplifying h + j = 0 Solving h + j = 0 Move all terms containing h to the left, all other terms to the right. Add '-1j' to each side of the equation. h + j + -1j = 0 + -1j Combine like terms: j + -1j = 0 h + 0 = 0 + -1j h = 0 + -1j Remove the zero: h = -1j Simplifying h = -1jSubproblem 2
Set the factor '(h + 17j)' equal to zero and attempt to solve: Simplifying h + 17j = 0 Solving h + 17j = 0 Move all terms containing h to the left, all other terms to the right. Add '-17j' to each side of the equation. h + 17j + -17j = 0 + -17j Combine like terms: 17j + -17j = 0 h + 0 = 0 + -17j h = 0 + -17j Remove the zero: h = -17j Simplifying h = -17jSolution
h = {-1j, -17j}
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