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Simplifying (7 + -8i)(7 + -8i) = 0 Multiply (7 + -8i) * (7 + -8i) (7(7 + -8i) + -8i * (7 + -8i)) = 0 ((7 * 7 + -8i * 7) + -8i * (7 + -8i)) = 0 ((49 + -56i) + -8i * (7 + -8i)) = 0 (49 + -56i + (7 * -8i + -8i * -8i)) = 0 (49 + -56i + (-56i + 64i2)) = 0 Combine like terms: -56i + -56i = -112i (49 + -112i + 64i2) = 0 Solving 49 + -112i + 64i2 = 0 Solving for variable 'i'. Factor a trinomial. (7 + -8i)(7 + -8i) = 0Subproblem 1
Set the factor '(7 + -8i)' equal to zero and attempt to solve: Simplifying 7 + -8i = 0 Solving 7 + -8i = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8i = 0 + -7 -8i = 0 + -7 Combine like terms: 0 + -7 = -7 -8i = -7 Divide each side by '-8'. i = 0.875 Simplifying i = 0.875Subproblem 2
Set the factor '(7 + -8i)' equal to zero and attempt to solve: Simplifying 7 + -8i = 0 Solving 7 + -8i = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8i = 0 + -7 -8i = 0 + -7 Combine like terms: 0 + -7 = -7 -8i = -7 Divide each side by '-8'. i = 0.875 Simplifying i = 0.875Solution
i = {0.875, 0.875}
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