Question 514837
<font face="Times New Roman" size="+2">


The absolute value of an equation makes no sense.  Do you mean you want the solution to the given absolute value equation?


Going on that assumption:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -3|x\ +\ 4|\ =\ -12]


Multiply both sides by *[tex \Large -\frac{1}{3}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |x\ +\ 4|\ =\ 4]



Consider the positive case:  *[tex \Large x\ +\ 4\ \geq\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ 4\ =\ 4]


Solve for the first value of *[tex \Large x]


Consider the negative case:  *[tex \Large x\ +\ 4\ <\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ 4\ =\ -4]


Solve for the second value of *[tex \Large x]


Substitute each of the solutions back into the original absolute value equation to verify that you don't have any extraneous solutions.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
<div style="text-align:center"><a href="http://outcampaign.org/" target="_blank"><img src="http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png" border="0" alt="The Out Campaign: Scarlet Letter of Atheism" width="143" height="122" /></a></div>
</font>