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Simplifying 15j2 + 22j = -8 Reorder the terms: 22j + 15j2 = -8 Solving 22j + 15j2 = -8 Solving for variable 'j'. Reorder the terms: 8 + 22j + 15j2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 22j + 15j2 = 0 Factor a trinomial. (4 + 5j)(2 + 3j) = 0Subproblem 1
Set the factor '(4 + 5j)' equal to zero and attempt to solve: Simplifying 4 + 5j = 0 Solving 4 + 5j = 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 + 5j = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5j = 0 + -4 5j = 0 + -4 Combine like terms: 0 + -4 = -4 5j = -4 Divide each side by '5'. j = -0.8 Simplifying j = -0.8Subproblem 2
Set the factor '(2 + 3j)' equal to zero and attempt to solve: Simplifying 2 + 3j = 0 Solving 2 + 3j = 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 + 3j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3j = 0 + -2 3j = 0 + -2 Combine like terms: 0 + -2 = -2 3j = -2 Divide each side by '3'. j = -0.6666666667 Simplifying j = -0.6666666667Solution
j = {-0.8, -0.6666666667}
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