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Simplifying (-8 + 9i)(-8 + 9i) = 0 Multiply (-8 + 9i) * (-8 + 9i) (-8(-8 + 9i) + 9i * (-8 + 9i)) = 0 ((-8 * -8 + 9i * -8) + 9i * (-8 + 9i)) = 0 ((64 + -72i) + 9i * (-8 + 9i)) = 0 (64 + -72i + (-8 * 9i + 9i * 9i)) = 0 (64 + -72i + (-72i + 81i2)) = 0 Combine like terms: -72i + -72i = -144i (64 + -144i + 81i2) = 0 Solving 64 + -144i + 81i2 = 0 Solving for variable 'i'. Factor a trinomial. (8 + -9i)(8 + -9i) = 0Subproblem 1
Set the factor '(8 + -9i)' equal to zero and attempt to solve: Simplifying 8 + -9i = 0 Solving 8 + -9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9i = 0 + -8 -9i = 0 + -8 Combine like terms: 0 + -8 = -8 -9i = -8 Divide each side by '-9'. i = 0.8888888889 Simplifying i = 0.8888888889Subproblem 2
Set the factor '(8 + -9i)' equal to zero and attempt to solve: Simplifying 8 + -9i = 0 Solving 8 + -9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9i = 0 + -8 -9i = 0 + -8 Combine like terms: 0 + -8 = -8 -9i = -8 Divide each side by '-9'. i = 0.8888888889 Simplifying i = 0.8888888889Solution
i = {0.8888888889, 0.8888888889}
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