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Simplifying 25j2 + 30j + 9 = 0 Reorder the terms: 9 + 30j + 25j2 = 0 Solving 9 + 30j + 25j2 = 0 Solving for variable 'j'. Factor a trinomial. (3 + 5j)(3 + 5j) = 0Subproblem 1
Set the factor '(3 + 5j)' equal to zero and attempt to solve: Simplifying 3 + 5j = 0 Solving 3 + 5j = 0 Move all terms containing j to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5j = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5j = 0 + -3 5j = 0 + -3 Combine like terms: 0 + -3 = -3 5j = -3 Divide each side by '5'. j = -0.6 Simplifying j = -0.6Subproblem 2
Set the factor '(3 + 5j)' equal to zero and attempt to solve: Simplifying 3 + 5j = 0 Solving 3 + 5j = 0 Move all terms containing j to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5j = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5j = 0 + -3 5j = 0 + -3 Combine like terms: 0 + -3 = -3 5j = -3 Divide each side by '5'. j = -0.6 Simplifying j = -0.6Solution
j = {-0.6, -0.6}
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