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Simplifying 18j3 + -30j2 = 0 Reorder the terms: -30j2 + 18j3 = 0 Solving -30j2 + 18j3 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '6j2'. 6j2(-5 + 3j) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'j2' equal to zero and attempt to solve: Simplifying j2 = 0 Solving j2 = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j2 = 0 Take the square root of each side: j = {0}Subproblem 2
Set the factor '(-5 + 3j)' equal to zero and attempt to solve: Simplifying -5 + 3j = 0 Solving -5 + 3j = 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 + 3j = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3j = 0 + 5 3j = 0 + 5 Combine like terms: 0 + 5 = 5 3j = 5 Divide each side by '3'. j = 1.666666667 Simplifying j = 1.666666667Solution
j = {0, 1.666666667}
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