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Simplifying 8j2 = 10j Solving 8j2 = 10j Solving for variable 'j'. Reorder the terms: -10j + 8j2 = 10j + -10j Combine like terms: 10j + -10j = 0 -10j + 8j2 = 0 Factor out the Greatest Common Factor (GCF), '2j'. 2j(-5 + 4j) = 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 '(-5 + 4j)' equal to zero and attempt to solve: Simplifying -5 + 4j = 0 Solving -5 + 4j = 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 + 4j = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4j = 0 + 5 4j = 0 + 5 Combine like terms: 0 + 5 = 5 4j = 5 Divide each side by '4'. j = 1.25 Simplifying j = 1.25Solution
j = {0, 1.25}
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