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(2 + 3i)x + (13 - 41) = (10 + 8i) Solve the following 2-step factor equations for X. Put your answer as a complex number (a+bi)

User Tylerargo
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1 Answer

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First, let's reshape the equation so that only x remains on one side. To achieve this, we subtract the term (13 - 41) from both sides of the equation. This gives us:

(2 + 3i)x = (10 + 8i) - (13 - 41)

Simplify the right-hand side of the equation:

(2 + 3i)x = 10 + 8i - 13 + 41

The result is:

(2 + 3i)x = -3 + 49i

The next step is to divide the equation by the coefficient for x, which is the complex number (2 + 3i). This will isolate x on one side of the equation. The new equation is:

x = (-3 + 49i) / (2 + 3i)

Performing this division operation gives us:

x = 7.692307692307692 - 7.538461538461538i

This is the solution to the equation in terms of the complex number x.

User Arleen
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