How To Solve Absolute Value Equations?

Isolate the absolute value expression on one side of the equation.

Set the inside of the absolute value equal to the positive case: (|A|=B Rightarrow A=B).

Set the inside of the absolute value equal to the negative case: (|A|=B Rightarrow A=-B).

Solve the resulting equation(s) for the variable.

Check each solution in the original equation if needed.

Discard any extraneous solutions (if the equation was transformed in a way that could introduce them).

Report the final solution set (one value, two values, or no solution).

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