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Simplifying 6j(3 + -7j) = 0 (3 * 6j + -7j * 6j) = 0 (18j + -42j2) = 0 Solving 18j + -42j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '6j'. 6j(3 + -7j) = 0 Ignore the factor 6.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 '(3 + -7j)' equal to zero and attempt to solve: Simplifying 3 + -7j = 0 Solving 3 + -7j = 0 Move all terms containing j to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7j = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7j = 0 + -3 -7j = 0 + -3 Combine like terms: 0 + -3 = -3 -7j = -3 Divide each side by '-7'. j = 0.4285714286 Simplifying j = 0.4285714286Solution
j = {0, 0.4285714286}
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