Z=(1+3i)(-i+2)

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Solution for Z=(1+3i)(-i+2) equation: 


Simplifying
Z = (1 + 3i)(-1i + 2)

Reorder the terms:
Z = (1 + 3i)(2 + -1i)

Multiply (1 + 3i) * (2 + -1i)
Z = (1(2 + -1i) + 3i * (2 + -1i))
Z = ((2 * 1 + -1i * 1) + 3i * (2 + -1i))
Z = ((2 + -1i) + 3i * (2 + -1i))
Z = (2 + -1i + (2 * 3i + -1i * 3i))
Z = (2 + -1i + (6i + -3i2))

Combine like terms: -1i + 6i = 5i
Z = (2 + 5i + -3i2)

Solving
Z = 2 + 5i + -3i2

Solving for variable 'Z'.

Move all terms containing Z to the left, all other terms to the right.

Simplifying
Z = 2 + 5i + -3i2

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