$\"\"$

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The equation is $\"\"$ .

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Subtract $\"\"$ from each side.

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$\"\"$

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$\"\"$

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Add 400 to each side.

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$\"\"$

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$\"\"$

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The GCF of $\"\"$ is 4, so factor out it.

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

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For a trinomial to be factorable as a perfect square, the first and last terms must be perfect squares and the middle term must be two times the square roots of the first and last terms.

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1. Is the first term a perfect square? Yes, $\"\"$ .

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2. Is the last term a perfect square? Yes, $\"\"$ .

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3. Is the middle term to $\"\"$ ? Yes, $\"\"$ .

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Since all three conditions are satisfied, $\"\"$ is a perfect square trinomial.

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The polynomial, $\"\"$ write as $\"\"$ .

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$\"\"$

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Factor using the pattern.

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$\"\"$ . $\"\"$

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

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Divide each side by 4.

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$\"\"$

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$\"\"$

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Set the repeated factor equal to zero.

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$\"\"$

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Add 6 to each side.

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$\"\"$

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$\"\"$

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$\"\"$

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The value of $\"\"$ .