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Simplifying 2j2 + 13j + -45 = 0 Reorder the terms: -45 + 13j + 2j2 = 0 Solving -45 + 13j + 2j2 = 0 Solving for variable 'j'. Factor a trinomial. (-9 + -1j)(5 + -2j) = 0Subproblem 1
Set the factor '(-9 + -1j)' equal to zero and attempt to solve: Simplifying -9 + -1j = 0 Solving -9 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1j = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1j = 0 + 9 -1j = 0 + 9 Combine like terms: 0 + 9 = 9 -1j = 9 Divide each side by '-1'. j = -9 Simplifying j = -9Subproblem 2
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 = 2.5Solution
j = {-9, 2.5}
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