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Q: How do you factor 4x squared plus 8x minus 5?

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(4x - 3)(x - 1)

8x2 -18x+9=(2x+-3)(4x+-3)

OK. 4x2 + 4x + 1 = (2x + 1)2

x2 + 4x + 4 = (x+2)2

That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: -2 plus or minus 0.5 times the square root of 11. x = 0.3416876048223001 x = -3.6583123951777

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(4x - 1)(x - 5)

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x2 - 4x - 21 = (x-7)(x+3)

8x2 -18x+9=(2x+-3)(4x+-3)

(2x - 9)(2x - 9) or (2x - 9)2

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