Perform the operation and get your answer in reduced form of a + bi. (2+i)/(-3-4i) 

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To divide complex numbers, multiply both numerator and denominator by the conjugate of the denominator.

The conjugate of -3-4i is -3+4i, then

`(2+i)/(-3-4i) * (-3+4i)/(-3+4i)`

Multiply complex numbers as two binomials:

`((2)(-3)+(2)(4i)+(i)(-3)+(i)(4i))/((-3)(-3)+(-3)(4i)+(-4i)(-3)+(-4i)(4i))`

`=(-6+8i-3i-4)/(9-12i+12i+16)`

`=(-10+5i)/25`

`=-0.4+0.2i`

Thus the answer in reduced form is: -0.4+0.2i

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