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Simplifying a2 + 6aj + -16j2 = 0 Reorder the terms: 6aj + a2 + -16j2 = 0 Solving 6aj + a2 + -16j2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -2j)(a + 8j) = 0Subproblem 1
Set the factor '(a + -2j)' equal to zero and attempt to solve: Simplifying a + -2j = 0 Solving a + -2j = 0 Move all terms containing a to the left, all other terms to the right. Add '2j' to each side of the equation. a + -2j + 2j = 0 + 2j Combine like terms: -2j + 2j = 0 a + 0 = 0 + 2j a = 0 + 2j Remove the zero: a = 2j Simplifying a = 2jSubproblem 2
Set the factor '(a + 8j)' equal to zero and attempt to solve: Simplifying a + 8j = 0 Solving a + 8j = 0 Move all terms containing a to the left, all other terms to the right. Add '-8j' to each side of the equation. a + 8j + -8j = 0 + -8j Combine like terms: 8j + -8j = 0 a + 0 = 0 + -8j a = 0 + -8j Remove the zero: a = -8j Simplifying a = -8jSolution
a = {2j, -8j}
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