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Simplifying j2 + 10j + -11 = 0 Reorder the terms: -11 + 10j + j2 = 0 Solving -11 + 10j + j2 = 0 Solving for variable 'j'. Factor a trinomial. (-11 + -1j)(1 + -1j) = 0Subproblem 1
Set the factor '(-11 + -1j)' equal to zero and attempt to solve: Simplifying -11 + -1j = 0 Solving -11 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1j = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1j = 0 + 11 -1j = 0 + 11 Combine like terms: 0 + 11 = 11 -1j = 11 Divide each side by '-1'. j = -11 Simplifying j = -11Subproblem 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 = {-11, 1}
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