$\"\"$

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The polynomial is $\"\"$ .

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Subtract 121 from each side.

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$\"\"$

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$\"\"$

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Write in the form of $\"\"$ .

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$\"\"$

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Apply difference of squares: $\"\"$ .

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$\"\"$ $\"\"$

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The factor form of equation $\"\"$ .

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Apply zero product property: $\"\"$ .

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$\"\"$

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Solve the first equation, $\"\"$ .

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Add 11 to each side.

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$\"\"$

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$\"\"$

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Divide each side by 6.

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$\"\"$

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$\"\"$

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$\"\"$

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Solve the second equation, $\"\"$ .

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Subtract 11 from each side.

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$\"\"$

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$\"\"$

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Divide each side by 6.

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$\"\"$

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$\"\"$

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$\"\"$

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Check for first solution:

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To check the solution, the value of $\"\"$ substitute in original equation, $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ (Solution checks) $\"\"$

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Check for second solution:

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To check the solution, the value of $\"\"$ substitute in original equation, $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ (Solution checks)

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$\"\"$

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The value of $\"\"$ .