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Simplifying 30j2 + 94j = 0 Reorder the terms: 94j + 30j2 = 0 Solving 94j + 30j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '2j'. 2j(47 + 15j) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'j' equal to zero and attempt to solve: Simplifying j = 0 Solving j = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j = 0Subproblem 2
Set the factor '(47 + 15j)' equal to zero and attempt to solve: Simplifying 47 + 15j = 0 Solving 47 + 15j = 0 Move all terms containing j to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 15j = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 15j = 0 + -47 15j = 0 + -47 Combine like terms: 0 + -47 = -47 15j = -47 Divide each side by '15'. j = -3.133333333 Simplifying j = -3.133333333Solution
j = {0, -3.133333333}
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