# Math

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What do you get when you factor 2q^2+22q=-60?

Is there more than one answer possible?

1. (2q+10)(q+6)
2. (2q+12)(q+5)

• Math -

(2)(q+6)(q+5)

• Math -

on a test, if i put one of the answers i put above, would i still get it right?

• Math -

You should factor out the GCF.

2q^2 + 22q = -60
2q^2 + 22q + 60 = 0
2(q^2 + 11q + 30) = 0

now divide both sides by 2

q^2 + 11q + 30 = 0
(q + 6)(q + 5) = 0

if 2 numbers multiplied together = 0 then one or both factors must be 0.

q + 6 = 0 and/or q + 5 = 0
q = -6 and/or q = -5

Plug in the 2 possible answers and see if one or both of them work.

• Math -

would i still get it right if i didn't factor out the gcf?

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