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Simplifying 2j(2j + 5) = 0 Reorder the terms: 2j(5 + 2j) = 0 (5 * 2j + 2j * 2j) = 0 (10j + 4j2) = 0 Solving 10j + 4j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '2j'. 2j(5 + 2j) = 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 '(5 + 2j)' equal to zero and attempt to solve: Simplifying 5 + 2j = 0 Solving 5 + 2j = 0 Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2j = 0 + -5 2j = 0 + -5 Combine like terms: 0 + -5 = -5 2j = -5 Divide each side by '2'. j = -2.5 Simplifying j = -2.5Solution
j = {0, -2.5}
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