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2xsquered minus 8x minus 24

1 Answer

2 votes

Answer:

x = 6 or x = -2

Explanation:

Solve for x:

2 x^2 - 8 x - 24 = 0

The left hand side factors into a product with three terms:

2 (x - 6) (x + 2) = 0

Divide both sides by 2:

(x - 6) (x + 2) = 0

Split into two equations:

x - 6 = 0 or x + 2 = 0

Add 6 to both sides:

x = 6 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = -2

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