Solve by factoring.

g squared plus 4 g minus 32 equals 0

(1 point)
Responses

g equals 32 or 28
Image with alt text: g equals 32 or 28

g equals 4 or 8
Image with alt text: g equals 4 or 8

g equals 2 or negative 16
Image with alt text: g equals 2 or negative 16

g equals 4 or negative 8

1 answer

To solve by factoring, we need to find two numbers that multiply to -32 and add up to 4 (the coefficient of the g term). The two numbers are 8 and -4.

Therefore, we can factor the equation as:

(g + 8)(g - 4) = 0

Setting each factor to 0 and solving for g, we get:

g + 8 = 0 or g - 4 = 0
g = -8 or g = 4

So, g equals -8 or 4.
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