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Simplifying j2 + 16j + -36 = 0 Reorder the terms: -36 + 16j + j2 = 0 Solving -36 + 16j + j2 = 0 Solving for variable 'j'. Factor a trinomial. (-18 + -1j)(2 + -1j) = 0Subproblem 1
Set the factor '(-18 + -1j)' equal to zero and attempt to solve: Simplifying -18 + -1j = 0 Solving -18 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1j = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1j = 0 + 18 -1j = 0 + 18 Combine like terms: 0 + 18 = 18 -1j = 18 Divide each side by '-1'. j = -18 Simplifying j = -18Subproblem 2
Set the factor '(2 + -1j)' equal to zero and attempt to solve: Simplifying 2 + -1j = 0 Solving 2 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1j = 0 + -2 -1j = 0 + -2 Combine like terms: 0 + -2 = -2 -1j = -2 Divide each side by '-1'. j = 2 Simplifying j = 2Solution
j = {-18, 2}
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