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Simplifying (9j + -2)(9j + -2) = 0 Reorder the terms: (-2 + 9j)(9j + -2) = 0 Reorder the terms: (-2 + 9j)(-2 + 9j) = 0 Multiply (-2 + 9j) * (-2 + 9j) (-2(-2 + 9j) + 9j * (-2 + 9j)) = 0 ((-2 * -2 + 9j * -2) + 9j * (-2 + 9j)) = 0 ((4 + -18j) + 9j * (-2 + 9j)) = 0 (4 + -18j + (-2 * 9j + 9j * 9j)) = 0 (4 + -18j + (-18j + 81j2)) = 0 Combine like terms: -18j + -18j = -36j (4 + -36j + 81j2) = 0 Solving 4 + -36j + 81j2 = 0 Solving for variable 'j'. Factor a trinomial. (2 + -9j)(2 + -9j) = 0Subproblem 1
Set the factor '(2 + -9j)' equal to zero and attempt to solve: Simplifying 2 + -9j = 0 Solving 2 + -9j = 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 + -9j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9j = 0 + -2 -9j = 0 + -2 Combine like terms: 0 + -2 = -2 -9j = -2 Divide each side by '-9'. j = 0.2222222222 Simplifying j = 0.2222222222Subproblem 2
Set the factor '(2 + -9j)' equal to zero and attempt to solve: Simplifying 2 + -9j = 0 Solving 2 + -9j = 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 + -9j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9j = 0 + -2 -9j = 0 + -2 Combine like terms: 0 + -2 = -2 -9j = -2 Divide each side by '-9'. j = 0.2222222222 Simplifying j = 0.2222222222Solution
j = {0.2222222222, 0.2222222222}
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