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Simplifying (7 + 8j)(7 + 8j) = 0 Multiply (7 + 8j) * (7 + 8j) (7(7 + 8j) + 8j * (7 + 8j)) = 0 ((7 * 7 + 8j * 7) + 8j * (7 + 8j)) = 0 ((49 + 56j) + 8j * (7 + 8j)) = 0 (49 + 56j + (7 * 8j + 8j * 8j)) = 0 (49 + 56j + (56j + 64j2)) = 0 Combine like terms: 56j + 56j = 112j (49 + 112j + 64j2) = 0 Solving 49 + 112j + 64j2 = 0 Solving for variable 'j'. Factor a trinomial. (7 + 8j)(7 + 8j) = 0Subproblem 1
Set the factor '(7 + 8j)' equal to zero and attempt to solve: Simplifying 7 + 8j = 0 Solving 7 + 8j = 0 Move all terms containing j to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8j = 0 + -7 8j = 0 + -7 Combine like terms: 0 + -7 = -7 8j = -7 Divide each side by '8'. j = -0.875 Simplifying j = -0.875Subproblem 2
Set the factor '(7 + 8j)' equal to zero and attempt to solve: Simplifying 7 + 8j = 0 Solving 7 + 8j = 0 Move all terms containing j to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8j = 0 + -7 8j = 0 + -7 Combine like terms: 0 + -7 = -7 8j = -7 Divide each side by '8'. j = -0.875 Simplifying j = -0.875Solution
j = {-0.875, -0.875}
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