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Solve by factoring.
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or

Ask by Gray Johnson. in the United States
Mar 11,2025

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Tutor-Verified Answer

Answer

or

Solution

Solve the equation .
Solve the quadratic equation by following steps:
  • step0: Solve by factoring:
  • step1: Factor the expression:
  • step2: Separate into possible cases:
  • step3: Solve the equation:
  • step4: Rewrite:

    The solutions to the equation by factoring are and or .

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Simplify this solution

Bonus Knowledge

To solve the quadratic equation by factoring, we first look for two numbers that multiply to and add to . The numbers and satisfy this condition!
Now we can rewrite the equation as:
.
Next, we group the terms:
.
Factoring each group gives us:
.
Now we can factor out :
.
Setting each factor to zero gives:
or .
Thus, we find:
or .
So, the solutions are:

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