$\"\"$

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The equation is $\"\"$ .

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Solve the equation.

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$\"\"$ (Original equation)

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$\"\"$ (LCM of $\"\"$ is $\"\"$ )

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$\"\"$ (Apply distributive property: $\"\"$ )

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$\"\"$ (Combine like terms)

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$\"\"$ (Cross product)

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Factors)

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$\"\"$ and $\"\"$ (Separate solutions)

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$\"\"$ and $\"\"$ (Simplify) $\"\"$

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Check:

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case(i): $\"\"$

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$\"\"$ (Original equation)

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$\"\"$ (Substitute $\"\"$ in the equation)

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Since, $\"\"$ results in a zero in the denominator of the original equation.

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It is an extraneous solution.

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case(ii): $\"\"$

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$\"\"$ (Original equation)

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$\"\"$ (Substitute $\"\"$ in the equation)

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$\"\"$ (Multiply)

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$\"\"$ (Simplify)

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$\"\"$ (Simplify)

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Therefore, the solution is $\"\"$ . $\"\"$

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The the solution is $\"\"$