$\"\"$

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The equation is $\"\"$ .

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

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$\"\"$

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The LCD $\"\"$ , $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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

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Multiply each side by $\"\"$ .

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$\"\"$

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$\"\"$

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Factors of left side: $\"\"$ .

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$\"\"$

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Apply zero product property: ab = 0 then a = 0 or b = 0.

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

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The first factor is $\"\"$ .

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Add 3 to each side.

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$\"\"$

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$\"\"$

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Divide each side by 2.

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$\"\"$

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$\"\"$

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$\"\"$

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The second factor is $\"\"$ .

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Subtract 3 from each side.

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$\"\"$

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$\"\"$

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$\"\"$

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Check:

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To check the first solution, substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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LCM of denominator 4, 1 is 4 and 2, 1 is 2.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The solution is true. $\"\"$

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Check:

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To check the second solution, substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The solution is false. $\"\"$

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The solution is $\"\"$ .