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Please help solve quick

Please help solve quick-example-1

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3 votes

Answer:

see below

Explanation:

3x^2 + 17x +10 =0

(3x+ ) ( x+ ) =0

We need to factor 10 = 2*5 or 1*10

They are positive since we have all positive terms

3*5 = 15+2 = 17

The 5 needs to multiply the 3 so it goes on the outside

(3x+ ) ( x+ 5 ) =0

That leaves the 2 on the inside

(3x+ 2 ) ( x+ 5 ) =0

Using the zero product property

3x+2 =0 x+5=0

3x = -2 x=-5

x = -2/3 x = -5

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