$\"\"$

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The equation is $\"\"$ .

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$\"\"$ (Add 24 to each side)

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

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In this trinomial, $\"\"$ . Since c is positive and b is negative, you need to find two negative factors with a sum of $\"\"$ and a product of 24.

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$\"\"$

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$\"\"$

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

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

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

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Use the principle of zeroproducts, which says, if ab=0, either a , b or both must be equal to zero.

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$\"\"$

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$\"\"$ (Add 4 to each side)

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

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

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$\"\"$ . (Apply additive identity property: $\"\"$ ) $\"\"$

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$\"\"$

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$\"\"$ (Add 4 to each side)

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

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

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$\"\"$ . (Apply additive identity property: $\"\"$ )

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$\"\"$

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Check:

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To check, substitute $\"\"$ or $\"\"$ in equation $\"\"$ .

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Evaluate powers: $\"\"$ )

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ )

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The equation is true. $\"\"$

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The roots are $\"\"$ .