What is the step by step to get this answer I got

x = -4, -2

Step-by-step explanation:

Given equation is,

x² + 6x + 8 = 0

Let the equation to be graphed is,

y = x² + 6x + 8

y = x² + 2(3x) + 9 - 1

y = x² + 2(3x) + 3² - 1

y = (x + 3)² - 1

Table for the Input-output values  

x           -6          -4            -3            -2            -1            0            

y            8           0            -1              0             3            8      

Now we can plot these points on the graph as attached.

Since, this graph is intersecting x-axis at x = -4, -2

Therefore, solutions of the given equation will be x = -4, -2

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