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Simplifying 6j2 + 11j + -2 = 0 Reorder the terms: -2 + 11j + 6j2 = 0 Solving -2 + 11j + 6j2 = 0 Solving for variable 'j'. Factor a trinomial. (-2 + -1j)(1 + -6j) = 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 '(1 + -6j)' equal to zero and attempt to solve: Simplifying 1 + -6j = 0 Solving 1 + -6j = 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 + -6j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6j = 0 + -1 -6j = 0 + -1 Combine like terms: 0 + -1 = -1 -6j = -1 Divide each side by '-6'. j = 0.1666666667 Simplifying j = 0.1666666667Solution
j = {-2, 0.1666666667}
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