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Simplifying (-4 + -6i)(-4 + -6) = 0 Combine like terms: -4 + -6 = -10 (-4 + -6i)(-10) = 0 Reorder the terms for easier multiplication: -10(-4 + -6i) = 0 (-4 * -10 + -6i * -10) = 0 (40 + 60i) = 0 Solving 40 + 60i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 60i = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 60i = 0 + -40 60i = 0 + -40 Combine like terms: 0 + -40 = -40 60i = -40 Divide each side by '60'. i = -0.6666666667 Simplifying i = -0.6666666667
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