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Simplifying 10j2 + 5j = 0 Reorder the terms: 5j + 10j2 = 0 Solving 5j + 10j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '5j'. 5j(1 + 2j) = 0 Ignore the factor 5.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 '(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 = -0.5Solution
j = {0, -0.5}
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