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Simplifying (2 + 3i)(5 + -2i) = 16 + 11i Multiply (2 + 3i) * (5 + -2i) (2(5 + -2i) + 3i * (5 + -2i)) = 16 + 11i ((5 * 2 + -2i * 2) + 3i * (5 + -2i)) = 16 + 11i ((10 + -4i) + 3i * (5 + -2i)) = 16 + 11i (10 + -4i + (5 * 3i + -2i * 3i)) = 16 + 11i (10 + -4i + (15i + -6i2)) = 16 + 11i Combine like terms: -4i + 15i = 11i (10 + 11i + -6i2) = 16 + 11i Add '-11i' to each side of the equation. 10 + 11i + -11i + -6i2 = 16 + 11i + -11i Combine like terms: 11i + -11i = 0 10 + 0 + -6i2 = 16 + 11i + -11i 10 + -6i2 = 16 + 11i + -11i Combine like terms: 11i + -11i = 0 10 + -6i2 = 16 + 0 10 + -6i2 = 16 Solving 10 + -6i2 = 16 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -6i2 = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -6i2 = 16 + -10 -6i2 = 16 + -10 Combine like terms: 16 + -10 = 6 -6i2 = 6 Divide each side by '-6'. i2 = -1 Simplifying i2 = -1 Reorder the terms: 1 + i2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + i2 = 0 The solution to this equation could not be determined.
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