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Simplifying 6j2 + -4j = 0 Reorder the terms: -4j + 6j2 = 0 Solving -4j + 6j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '2j'. 2j(-2 + 3j) = 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 '(-2 + 3j)' equal to zero and attempt to solve: Simplifying -2 + 3j = 0 Solving -2 + 3j = 0 Move all terms containing j to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3j = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3j = 0 + 2 3j = 0 + 2 Combine like terms: 0 + 2 = 2 3j = 2 Divide each side by '3'. j = 0.6666666667 Simplifying j = 0.6666666667Solution
j = {0, 0.6666666667}
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