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Simplifying -4j2 + 16j + 180 = 0 Reorder the terms: 180 + 16j + -4j2 = 0 Solving 180 + 16j + -4j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '4'. 4(45 + 4j + -1j2) = 0 Factor a trinomial. 4((9 + -1j)(5 + j)) = 0 Ignore the factor 4.Subproblem 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 + j)' equal to zero and attempt to solve: Simplifying 5 + j = 0 Solving 5 + j = 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 + j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + j = 0 + -5 j = 0 + -5 Combine like terms: 0 + -5 = -5 j = -5 Simplifying j = -5Solution
j = {9, -5}
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