$\"\"$

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Let $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$ (Secant segment products)

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

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$\"\"$ (Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ )

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$\"\"$ (Add: $\"\"$ )

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$\"\"$ (Multiply: $\"\"$ ) $\"\"$ $\"\"$ (Subtract 24 from each side)

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$\"\"$ (Simplify)

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$\"\"$ (10x can be written as $\"\"$ )

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$\"\"$ (Taken out common terms)

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$\"\"$ (Can be written as factors) $\"\"$

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$\"\"$ (Zero product property)

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$\"\"$

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$\"\"$ (Disregard negative value) $\"\"$

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The value of $\"\"$ .