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Victoria V. answered • 07/17/19
Tutor
5.0
(402)
20+ years teaching Algebra 2 subjects & beyond.
Start by collecting like terms:
22 + 7i = -2i + 4 + 6d + 3di
22 + 7i = (4 + 6d) + (-2 + 3d)i
The real part on the left must equal the real part on the right: 22 = 4 + 6d
The imaginary part on the left must equal the imaginary part on the right: 7 = -2 + 3d
Solve these and you will find "d"
From the reals: d = 3
From the imags: d = 3
Looks like d = 3
