Question
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Solve.
If there is more than one solution, separate them with commas.

Ask by Carlson May. in the United States
Mar 29,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

Solve the equation .
Solve the equation by following steps:
  • step0: Solve for :
  • step1: Move the expression to the left side:
  • step2: Remove the parentheses:
  • step3: Factor the expression:
  • step4: Separate into possible cases:
  • step5: Solve the equation:
  • step6: Rewrite:

    The solutions to the equation are .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Mind Expander

To solve the equation , we first rearrange it:
Next, we perform a substitution to make it simpler. Let . The equation now becomes:
We can factor this quadratic equation:
This gives us the solutions:
Recalling that , we have:
  1. which gives or .
  2. which gives or .
Thus, the full set of solutions is:
So, the final result is:

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