What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0

The solutions of the equation (2x + 3)^2 + 8(2x + 3) + 11 = 0 are -4.6 and -2.4

The equation is given as:

(2x + 3)^2 + 8(2x + 3) + 11 = 0

Next, we plot the graph of the equation (see attachment)

From the graph, the curve of the graph crosses the x-axis at points

x = -4.6 and x = -2.4

Hence, the solutions of the equation (2x + 3)^2 + 8(2x + 3) + 11 = 0 are -4.6 and -2.4

Read more about quadratic equations at:

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Step-by-step explanation:

The given equation is

Let us treat this as a quadratic equation in .

where

The solution is given by the quadratic formula;

We substitute these values into the formula to obtain;

or

or

or

or

2 5/8 is the final answer! : )