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Simplifying (-2 + 6i)(5 + -4i) = 14 + 38i Multiply (-2 + 6i) * (5 + -4i) (-2(5 + -4i) + 6i * (5 + -4i)) = 14 + 38i ((5 * -2 + -4i * -2) + 6i * (5 + -4i)) = 14 + 38i ((-10 + 8i) + 6i * (5 + -4i)) = 14 + 38i (-10 + 8i + (5 * 6i + -4i * 6i)) = 14 + 38i (-10 + 8i + (30i + -24i2)) = 14 + 38i Combine like terms: 8i + 30i = 38i (-10 + 38i + -24i2) = 14 + 38i Add '-38i' to each side of the equation. -10 + 38i + -38i + -24i2 = 14 + 38i + -38i Combine like terms: 38i + -38i = 0 -10 + 0 + -24i2 = 14 + 38i + -38i -10 + -24i2 = 14 + 38i + -38i Combine like terms: 38i + -38i = 0 -10 + -24i2 = 14 + 0 -10 + -24i2 = 14 Solving -10 + -24i2 = 14 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 + -24i2 = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -24i2 = 14 + 10 -24i2 = 14 + 10 Combine like terms: 14 + 10 = 24 -24i2 = 24 Divide each side by '-24'. 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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