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Simplifying j2 = -15j + -50 Reorder the terms: j2 = -50 + -15j Solving j2 = -50 + -15j Solving for variable 'j'. Reorder the terms: 50 + 15j + j2 = -50 + -15j + 50 + 15j Reorder the terms: 50 + 15j + j2 = -50 + 50 + -15j + 15j Combine like terms: -50 + 50 = 0 50 + 15j + j2 = 0 + -15j + 15j 50 + 15j + j2 = -15j + 15j Combine like terms: -15j + 15j = 0 50 + 15j + j2 = 0 Factor a trinomial. (10 + j)(5 + j) = 0Subproblem 1
Set the factor '(10 + j)' equal to zero and attempt to solve: Simplifying 10 + j = 0 Solving 10 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + j = 0 + -10 Combine like terms: 10 + -10 = 0 0 + j = 0 + -10 j = 0 + -10 Combine like terms: 0 + -10 = -10 j = -10 Simplifying j = -10Subproblem 2
Set the factor '(5 + j)' equal to zero and attempt to solve: Simplifying 5 + j = 0 Solving 5 + j = 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 + j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + j = 0 + -5 j = 0 + -5 Combine like terms: 0 + -5 = -5 j = -5 Simplifying j = -5Solution
j = {-10, -5}
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