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Simplifying -29j + -6j2 = 30 Solving -29j + -6j2 = 30 Solving for variable 'j'. Reorder the terms: -30 + -29j + -6j2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -29j + -6j2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(30 + 29j + 6j2) = 0 Factor a trinomial. -1((10 + 3j)(3 + 2j)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 3j)' equal to zero and attempt to solve: Simplifying 10 + 3j = 0 Solving 10 + 3j = 0 Move all terms containing j to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3j = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3j = 0 + -10 3j = 0 + -10 Combine like terms: 0 + -10 = -10 3j = -10 Divide each side by '3'. j = -3.333333333 Simplifying j = -3.333333333Subproblem 2
Set the factor '(3 + 2j)' equal to zero and attempt to solve: Simplifying 3 + 2j = 0 Solving 3 + 2j = 0 Move all terms containing j to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2j = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2j = 0 + -3 2j = 0 + -3 Combine like terms: 0 + -3 = -3 2j = -3 Divide each side by '2'. j = -1.5 Simplifying j = -1.5Solution
j = {-3.333333333, -1.5}
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