How do you factor $- \frac{1}{2}$ $-1/2$ out of $- \frac{1}{2} x + 6$ $-1/2x +6$ ?

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How do you factor $- \frac{1}{2}$ $-1/2$ out of $- \frac{1}{2} x + 6$ $-1/2x +6$ ?

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Answer 1 · 2018-06-15T21:10:53

Factoring $- \frac{1}{2}$ $-1/2$ out gives $- \frac{1}{2} (x - 12)$ $-1/2(x-12)$

Explanation:

Splitting $- \frac{1}{2} x + 6$ $color(green)(-1/2x+6)$ into parts.

$dddddddd$ $color(white)("dddddddd")$ Firstly we look at $- \frac{1}{2} x$ $color(green)(-1/2x)$

$- \frac{1}{2} \times ? gives - \frac{1}{2} x$ $color(blue)(-1/2)xx? " gives"color(green)( -1/2x)$

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

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

$- \frac{1}{2} \times ? gives + 6$ $color(blue)(-1/2)xx?" gives "color(green)(+ 6)$

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

$- \frac{1}{2} \times (- 12) = + 6$ $color(blue)(-1/2)xxcolor(magenta)((-12)) =color(green)( +6)$
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Putting it all together

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

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How do you factor $- \frac{1}{2}$ $-1/2$ out of $- \frac{1}{2} x + 6$ $-1/2x +6$ ?

1 Answer

Explanation:

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How do you factor $- \frac{1}{2}$ $-1/2$ out of $- \frac{1}{2} x + 6$ $-1/2x +6$ ?