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Simplifying 4j(4 + -7j) = 0 (4 * 4j + -7j * 4j) = 0 (16j + -28j2) = 0 Solving 16j + -28j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '4j'. 4j(4 + -7j) = 0 Ignore the factor 4.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 '(4 + -7j)' equal to zero and attempt to solve: Simplifying 4 + -7j = 0 Solving 4 + -7j = 0 Move all terms containing j to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7j = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7j = 0 + -4 -7j = 0 + -4 Combine like terms: 0 + -4 = -4 -7j = -4 Divide each side by '-7'. j = 0.5714285714 Simplifying j = 0.5714285714Solution
j = {0, 0.5714285714}
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