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Simplifying j2 + -10j + -24 = 0 Reorder the terms: -24 + -10j + j2 = 0 Solving -24 + -10j + j2 = 0 Solving for variable 'j'. Factor a trinomial. (-2 + -1j)(12 + -1j) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(12 + -1j)' equal to zero and attempt to solve: Simplifying 12 + -1j = 0 Solving 12 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1j = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1j = 0 + -12 -1j = 0 + -12 Combine like terms: 0 + -12 = -12 -1j = -12 Divide each side by '-1'. j = 12 Simplifying j = 12Solution
j = {-2, 12}
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