(-2-2i)(-4-3i)(7+8i)=1

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Solution for (-2-2i)(-4-3i)(7+8i)=1 equation:


Simplifying
(-2 + -2i)(-4 + -3i)(7 + 8i) = 1

Multiply (-2 + -2i) * (-4 + -3i)
(-2(-4 + -3i) + -2i * (-4 + -3i))(7 + 8i) = 1
((-4 * -2 + -3i * -2) + -2i * (-4 + -3i))(7 + 8i) = 1
((8 + 6i) + -2i * (-4 + -3i))(7 + 8i) = 1
(8 + 6i + (-4 * -2i + -3i * -2i))(7 + 8i) = 1
(8 + 6i + (8i + 6i2))(7 + 8i) = 1

Combine like terms: 6i + 8i = 14i
(8 + 14i + 6i2)(7 + 8i) = 1

Multiply (8 + 14i + 6i2) * (7 + 8i)
(8(7 + 8i) + 14i * (7 + 8i) + 6i2 * (7 + 8i)) = 1
((7 * 8 + 8i * 8) + 14i * (7 + 8i) + 6i2 * (7 + 8i)) = 1
((56 + 64i) + 14i * (7 + 8i) + 6i2 * (7 + 8i)) = 1
(56 + 64i + (7 * 14i + 8i * 14i) + 6i2 * (7 + 8i)) = 1
(56 + 64i + (98i + 112i2) + 6i2 * (7 + 8i)) = 1
(56 + 64i + 98i + 112i2 + (7 * 6i2 + 8i * 6i2)) = 1
(56 + 64i + 98i + 112i2 + (42i2 + 48i3)) = 1

Combine like terms: 64i + 98i = 162i
(56 + 162i + 112i2 + 42i2 + 48i3) = 1

Combine like terms: 112i2 + 42i2 = 154i2
(56 + 162i + 154i2 + 48i3) = 1

Solving
56 + 162i + 154i2 + 48i3 = 1

Solving for variable 'i'.

Reorder the terms:
56 + -1 + 162i + 154i2 + 48i3 = 1 + -1

Combine like terms: 56 + -1 = 55
55 + 162i + 154i2 + 48i3 = 1 + -1

Combine like terms: 1 + -1 = 0
55 + 162i + 154i2 + 48i3 = 0

The solution to this equation could not be determined.

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