Resources for Quaternion Equations?

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I have 2 Quaternion equations and I'm trying to find material on how to solve them:

1 = 2 − + + 3

2 = −1 + + 4 − 2

I need to find the difference of the 2 sums and the Quaternion Product.

I've literally searched everywhere and can't find decent material that can help me solve these equations and get the properties I need.

I'm not asking for anyone to solve these equations I'm simply asking if anyone could direct me to some material that can help me get the properties I need (as I need to write a program that solves these too) or if anyone would care to explain in some detail how I can go about solving these?

Thanks in advance!

[EDIT]

Here's the question I've been asked in full:

Given the following two quaternions equations:

1 = 2 − + + 3

2 = −1 + + 4 − 2

Where (i, j, k) belong in the Imaginary Space: Calculate analytically the following series of properties: • Sum and difference of the two quaternions • Quaternions product