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Simplifying (5j3 + 4j2 + 2j) + (-3j3 + -2j) = 0 Reorder the terms: (2j + 4j2 + 5j3) + (-3j3 + -2j) = 0 Remove parenthesis around (2j + 4j2 + 5j3) 2j + 4j2 + 5j3 + (-3j3 + -2j) = 0 Reorder the terms: 2j + 4j2 + 5j3 + (-2j + -3j3) = 0 Remove parenthesis around (-2j + -3j3) 2j + 4j2 + 5j3 + -2j + -3j3 = 0 Reorder the terms: 2j + -2j + 4j2 + 5j3 + -3j3 = 0 Combine like terms: 2j + -2j = 0 0 + 4j2 + 5j3 + -3j3 = 0 4j2 + 5j3 + -3j3 = 0 Combine like terms: 5j3 + -3j3 = 2j3 4j2 + 2j3 = 0 Solving 4j2 + 2j3 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '2j2'. 2j2(2 + j) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'j2' equal to zero and attempt to solve: Simplifying j2 = 0 Solving j2 = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j2 = 0 Take the square root of each side: j = {0}Subproblem 2
Set the factor '(2 + j)' equal to zero and attempt to solve: Simplifying 2 + j = 0 Solving 2 + j = 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 + j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + j = 0 + -2 j = 0 + -2 Combine like terms: 0 + -2 = -2 j = -2 Simplifying j = -2Solution
j = {0, -2}
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