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Simplifying j2 + 15j + -16 = 0 Reorder the terms: -16 + 15j + j2 = 0 Solving -16 + 15j + j2 = 0 Solving for variable 'j'. Factor a trinomial. (-16 + -1j)(1 + -1j) = 0Subproblem 1
Set the factor '(-16 + -1j)' equal to zero and attempt to solve: Simplifying -16 + -1j = 0 Solving -16 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1j = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1j = 0 + 16 -1j = 0 + 16 Combine like terms: 0 + 16 = 16 -1j = 16 Divide each side by '-1'. j = -16 Simplifying j = -16Subproblem 2
Set the factor '(1 + -1j)' equal to zero and attempt to solve: Simplifying 1 + -1j = 0 Solving 1 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1j = 0 + -1 -1j = 0 + -1 Combine like terms: 0 + -1 = -1 -1j = -1 Divide each side by '-1'. j = 1 Simplifying j = 1Solution
j = {-16, 1}
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