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Simplifying (X + -5)(x + -6i) = 0 Reorder the terms: (-5 + X)(x + -6i) = 0 Reorder the terms: (-5 + X)(-6i + x) = 0 Multiply (-5 + X) * (-6i + x) (-5(-6i + x) + X(-6i + x)) = 0 ((-6i * -5 + x * -5) + X(-6i + x)) = 0 ((30i + -5x) + X(-6i + x)) = 0 (30i + -5x + (-6i * X + x * X)) = 0 (30i + -5x + (-6iX + xX)) = 0 Reorder the terms: (30i + -6iX + -5x + xX) = 0 (30i + -6iX + -5x + xX) = 0 Solving 30i + -6iX + -5x + xX = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5x' to each side of the equation. 30i + -6iX + -5x + 5x + xX = 0 + 5x Combine like terms: -5x + 5x = 0 30i + -6iX + 0 + xX = 0 + 5x 30i + -6iX + xX = 0 + 5x Remove the zero: 30i + -6iX + xX = 5x Add '-1xX' to each side of the equation. 30i + -6iX + xX + -1xX = 5x + -1xX Combine like terms: xX + -1xX = 0 30i + -6iX + 0 = 5x + -1xX 30i + -6iX = 5x + -1xX Reorder the terms: 30i + -6iX + -5x + xX = 5x + -5x + -1xX + xX Combine like terms: 5x + -5x = 0 30i + -6iX + -5x + xX = 0 + -1xX + xX 30i + -6iX + -5x + xX = -1xX + xX Combine like terms: -1xX + xX = 0 30i + -6iX + -5x + xX = 0 The solution to this equation could not be determined.
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