How do you factor #-1/2# out of #-1/2x +6#?

1 Answer
Jun 15, 2018

Answer:

Factoring #-1/2# out gives #-1/2(x-12)#

Explanation:

Splitting #color(green)(-1/2x+6)# into parts.

# color(white)("dddddddd")#Firstly we look at #color(green)(-1/2x)#

#color(blue)(-1/2)xx? " gives"color(green)( -1/2x)#

So in this case #? =color(magenta)(x#

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# color(white)("dddddddd")#Secondly we look at #color(green)(+6)#

#color(blue)(-1/2)xx?" gives "color(green)(+ 6)#

So in this case #?=color(magenta)(-12)#

#color(blue)(-1/2)xxcolor(magenta)((-12)) =color(green)( +6)#
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Putting it all together

#color(blue)(-1/2)color(magenta)((x-12)) =color(green)(-1/2x+6)#