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Simplifying j2 + -5j + -36 = 0 Reorder the terms: -36 + -5j + j2 = 0 Solving -36 + -5j + j2 = 0 Solving for variable 'j'. Factor a trinomial. (-4 + -1j)(9 + -1j) = 0Subproblem 1
Set the factor '(-4 + -1j)' equal to zero and attempt to solve: Simplifying -4 + -1j = 0 Solving -4 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1j = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1j = 0 + 4 -1j = 0 + 4 Combine like terms: 0 + 4 = 4 -1j = 4 Divide each side by '-1'. j = -4 Simplifying j = -4Subproblem 2
Set the factor '(9 + -1j)' equal to zero and attempt to solve: Simplifying 9 + -1j = 0 Solving 9 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1j = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1j = 0 + -9 -1j = 0 + -9 Combine like terms: 0 + -9 = -9 -1j = -9 Divide each side by '-1'. j = 9 Simplifying j = 9Solution
j = {-4, 9}
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