$\"\"$

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The equation is $\"\"$ .

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Add 32 to each side.

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$\"\"$

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$\"\"$

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The general factor trinomial form is $\"\"$ .

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In the above trinomial, $\"\"$ .

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Since c is positive and b is negative, you need to find two negative factors with a sum of $\"\"$ and a product of $\"\"$ .

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$\"\"$

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Apply the pattern form: $\"\"$ when $\"\"$ .

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

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

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

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$\"\"$

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

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

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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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The value of $\"\"$ .