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Simplifying 6j(j + 4) = 0 Reorder the terms: 6j(4 + j) = 0 (4 * 6j + j * 6j) = 0 (24j + 6j2) = 0 Solving 24j + 6j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '6j'. 6j(4 + j) = 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 '(4 + j)' equal to zero and attempt to solve: Simplifying 4 + j = 0 Solving 4 + j = 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 + j = 0 + -4 Combine like terms: 4 + -4 = 0 0 + j = 0 + -4 j = 0 + -4 Combine like terms: 0 + -4 = -4 j = -4 Simplifying j = -4Solution
j = {0, -4}
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