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Simplifying 3j(4j + 4) = 0 Reorder the terms: 3j(4 + 4j) = 0 (4 * 3j + 4j * 3j) = 0 (12j + 12j2) = 0 Solving 12j + 12j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '12j'. 12j(1 + j) = 0 Ignore the factor 12.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 + j)' equal to zero and attempt to solve: Simplifying 1 + j = 0 Solving 1 + j = 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 + j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + j = 0 + -1 j = 0 + -1 Combine like terms: 0 + -1 = -1 j = -1 Simplifying j = -1Solution
j = {0, -1}
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