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Simplifying 6j2 + 11j + -10 = 0 Reorder the terms: -10 + 11j + 6j2 = 0 Solving -10 + 11j + 6j2 = 0 Solving for variable 'j'. Factor a trinomial. (-5 + -2j)(2 + -3j) = 0Subproblem 1
Set the factor '(-5 + -2j)' equal to zero and attempt to solve: Simplifying -5 + -2j = 0 Solving -5 + -2j = 0 Move all terms containing j to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2j = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2j = 0 + 5 -2j = 0 + 5 Combine like terms: 0 + 5 = 5 -2j = 5 Divide each side by '-2'. j = -2.5 Simplifying j = -2.5Subproblem 2
Set the factor '(2 + -3j)' equal to zero and attempt to solve: Simplifying 2 + -3j = 0 Solving 2 + -3j = 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 + -3j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3j = 0 + -2 -3j = 0 + -2 Combine like terms: 0 + -2 = -2 -3j = -2 Divide each side by '-3'. j = 0.6666666667 Simplifying j = 0.6666666667Solution
j = {-2.5, 0.6666666667}
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