Y=(4+5i)(2-3i)

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Solution for Y=(4+5i)(2-3i) equation:


Simplifying
Y = (4 + 5i)(2 + -3i)

Multiply (4 + 5i) * (2 + -3i)
Y = (4(2 + -3i) + 5i * (2 + -3i))
Y = ((2 * 4 + -3i * 4) + 5i * (2 + -3i))
Y = ((8 + -12i) + 5i * (2 + -3i))
Y = (8 + -12i + (2 * 5i + -3i * 5i))
Y = (8 + -12i + (10i + -15i2))

Combine like terms: -12i + 10i = -2i
Y = (8 + -2i + -15i2)

Solving
Y = 8 + -2i + -15i2

Solving for variable 'Y'.

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

Simplifying
Y = 8 + -2i + -15i2

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