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Simplifying (10)(-5 + -9i) = 0 (-5 * 10 + -9i * 10) = 0 (-50 + -90i) = 0 Solving -50 + -90i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -90i = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -90i = 0 + 50 -90i = 0 + 50 Combine like terms: 0 + 50 = 50 -90i = 50 Divide each side by '-90'. i = -0.5555555556 Simplifying i = -0.5555555556
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