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Simplifying (7 + -3i)(8 + 4i) = 68 + 4i Multiply (7 + -3i) * (8 + 4i) (7(8 + 4i) + -3i * (8 + 4i)) = 68 + 4i ((8 * 7 + 4i * 7) + -3i * (8 + 4i)) = 68 + 4i ((56 + 28i) + -3i * (8 + 4i)) = 68 + 4i (56 + 28i + (8 * -3i + 4i * -3i)) = 68 + 4i (56 + 28i + (-24i + -12i2)) = 68 + 4i Combine like terms: 28i + -24i = 4i (56 + 4i + -12i2) = 68 + 4i Add '-4i' to each side of the equation. 56 + 4i + -4i + -12i2 = 68 + 4i + -4i Combine like terms: 4i + -4i = 0 56 + 0 + -12i2 = 68 + 4i + -4i 56 + -12i2 = 68 + 4i + -4i Combine like terms: 4i + -4i = 0 56 + -12i2 = 68 + 0 56 + -12i2 = 68 Solving 56 + -12i2 = 68 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -12i2 = 68 + -56 Combine like terms: 56 + -56 = 0 0 + -12i2 = 68 + -56 -12i2 = 68 + -56 Combine like terms: 68 + -56 = 12 -12i2 = 12 Divide each side by '-12'. 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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