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Answer
Solution
Solve the equation
Solve the equation by following steps:
Solve the equation by following steps:
- step0: Solve for
:
- step1: Move the expression to the left side:
- step2: Calculate:
- step3: Separate into possible cases:
- step4: Solve the equation:
- step5: Find the intersection:
- step6: Find the union:
The solution to the equationis or .
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Simplify this solution Extra Insights
To solve the equation
which simplifies to:
Next, we need to consider two scenarios based on the definition of absolute value.
Case 1:
Here,
Expanding this:
Rearranging it results in:
Since
Case 2:
In this case,
Expanding this:
Rearranging results in:
Since
Thus, the only valid solution to the equation
