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Simplifying (8 + -5i)(3 + 3i) = 39 + 9i Multiply (8 + -5i) * (3 + 3i) (8(3 + 3i) + -5i * (3 + 3i)) = 39 + 9i ((3 * 8 + 3i * 8) + -5i * (3 + 3i)) = 39 + 9i ((24 + 24i) + -5i * (3 + 3i)) = 39 + 9i (24 + 24i + (3 * -5i + 3i * -5i)) = 39 + 9i (24 + 24i + (-15i + -15i2)) = 39 + 9i Combine like terms: 24i + -15i = 9i (24 + 9i + -15i2) = 39 + 9i Add '-9i' to each side of the equation. 24 + 9i + -9i + -15i2 = 39 + 9i + -9i Combine like terms: 9i + -9i = 0 24 + 0 + -15i2 = 39 + 9i + -9i 24 + -15i2 = 39 + 9i + -9i Combine like terms: 9i + -9i = 0 24 + -15i2 = 39 + 0 24 + -15i2 = 39 Solving 24 + -15i2 = 39 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -15i2 = 39 + -24 Combine like terms: 24 + -24 = 0 0 + -15i2 = 39 + -24 -15i2 = 39 + -24 Combine like terms: 39 + -24 = 15 -15i2 = 15 Divide each side by '-15'. 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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