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

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Answer 1 · 2018-06-15T21:10:53

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

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

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

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