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Simplifying (5j + -9)(8j + -1) = 0 Reorder the terms: (-9 + 5j)(8j + -1) = 0 Reorder the terms: (-9 + 5j)(-1 + 8j) = 0 Multiply (-9 + 5j) * (-1 + 8j) (-9(-1 + 8j) + 5j * (-1 + 8j)) = 0 ((-1 * -9 + 8j * -9) + 5j * (-1 + 8j)) = 0 ((9 + -72j) + 5j * (-1 + 8j)) = 0 (9 + -72j + (-1 * 5j + 8j * 5j)) = 0 (9 + -72j + (-5j + 40j2)) = 0 Combine like terms: -72j + -5j = -77j (9 + -77j + 40j2) = 0 Solving 9 + -77j + 40j2 = 0 Solving for variable 'j'. Factor a trinomial. (1 + -8j)(9 + -5j) = 0Subproblem 1
Set the factor '(1 + -8j)' equal to zero and attempt to solve: Simplifying 1 + -8j = 0 Solving 1 + -8j = 0 Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8j = 0 + -1 -8j = 0 + -1 Combine like terms: 0 + -1 = -1 -8j = -1 Divide each side by '-8'. j = 0.125 Simplifying j = 0.125Subproblem 2
Set the factor '(9 + -5j)' equal to zero and attempt to solve: Simplifying 9 + -5j = 0 Solving 9 + -5j = 0 Move all terms containing j to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5j = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5j = 0 + -9 -5j = 0 + -9 Combine like terms: 0 + -9 = -9 -5j = -9 Divide each side by '-5'. j = 1.8 Simplifying j = 1.8Solution
j = {0.125, 1.8}
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