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Simplifying 2j2 + -31j + 15 = 0 Reorder the terms: 15 + -31j + 2j2 = 0 Solving 15 + -31j + 2j2 = 0 Solving for variable 'j'. Factor a trinomial. (1 + -2j)(15 + -1j) = 0Subproblem 1
Set the factor '(1 + -2j)' equal to zero and attempt to solve: Simplifying 1 + -2j = 0 Solving 1 + -2j = 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 + -2j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2j = 0 + -1 -2j = 0 + -1 Combine like terms: 0 + -1 = -1 -2j = -1 Divide each side by '-2'. j = 0.5 Simplifying j = 0.5Subproblem 2
Set the factor '(15 + -1j)' equal to zero and attempt to solve: Simplifying 15 + -1j = 0 Solving 15 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1j = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1j = 0 + -15 -1j = 0 + -15 Combine like terms: 0 + -15 = -15 -1j = -15 Divide each side by '-1'. j = 15 Simplifying j = 15Solution
j = {0.5, 15}
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