01) Absolute Value: Finding X From An Absolute Value Equal to Constant Equation

 For |ax+b| + c = d, one can square both sides to use the quadratic equation to get both answers of x.

First, separate the absolute value from those that are not.


Second, square both sides, since squaring anything ensures that the results are always positive when the values are real. This can be shown if |x| can be considered as √[(x)^2].

Thus we can extrapolate that,



Therefore,



So,



We can simplify the Right Hand Side,


From this point forward, the Quadratic Equation can be used to find the values of x.

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