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Simplifying a2 + 6aj + -27j2 = 0 Reorder the terms: 6aj + a2 + -27j2 = 0 Solving 6aj + a2 + -27j2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -3j)(a + 9j) = 0Subproblem 1
Set the factor '(a + -3j)' equal to zero and attempt to solve: Simplifying a + -3j = 0 Solving a + -3j = 0 Move all terms containing a to the left, all other terms to the right. Add '3j' to each side of the equation. a + -3j + 3j = 0 + 3j Combine like terms: -3j + 3j = 0 a + 0 = 0 + 3j a = 0 + 3j Remove the zero: a = 3j Simplifying a = 3jSubproblem 2
Set the factor '(a + 9j)' equal to zero and attempt to solve: Simplifying a + 9j = 0 Solving a + 9j = 0 Move all terms containing a to the left, all other terms to the right. Add '-9j' to each side of the equation. a + 9j + -9j = 0 + -9j Combine like terms: 9j + -9j = 0 a + 0 = 0 + -9j a = 0 + -9j Remove the zero: a = -9j Simplifying a = -9jSolution
a = {3j, -9j}
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