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Simplifying (7 + -9i)(-8 + -9i) = 0 Multiply (7 + -9i) * (-8 + -9i) (7(-8 + -9i) + -9i * (-8 + -9i)) = 0 ((-8 * 7 + -9i * 7) + -9i * (-8 + -9i)) = 0 ((-56 + -63i) + -9i * (-8 + -9i)) = 0 (-56 + -63i + (-8 * -9i + -9i * -9i)) = 0 (-56 + -63i + (72i + 81i2)) = 0 Combine like terms: -63i + 72i = 9i (-56 + 9i + 81i2) = 0 Solving -56 + 9i + 81i2 = 0 Solving for variable 'i'. Factor a trinomial. (-8 + -9i)(7 + -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 '(7 + -9i)' equal to zero and attempt to solve: Simplifying 7 + -9i = 0 Solving 7 + -9i = 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 + -9i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9i = 0 + -7 -9i = 0 + -7 Combine like terms: 0 + -7 = -7 -9i = -7 Divide each side by '-9'. i = 0.7777777778 Simplifying i = 0.7777777778Solution
i = {-0.8888888889, 0.7777777778}
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