I've empiricaly produced this exponential equation to express a graphical representation :
y = \left(a^x + (bx)²\right) \left((1-10^{-x}) x\right)
I know the constants $a$ and $b$.
Now, i would like to extract the formula to be able to calculate x plots separatively.
How can i factor this equation to solve x ?
$ x = ?$
I didnt practice maths for so many years, i almost completely forgot all of the factorisation rules so im likely stucked...
Some help would be greatly appreciated.
EDIT :
I forgot to say that A and B values can be restricted to a range allowing to find an acceptable solution. For example, a = 1 and b = 10
You can view the representation result in this spreadsheet : https://docs.google.com/spreadsheet/ccc?key=0AiLgphtsXoERdDN2Y2RTeUlEa1FaNFdSM3dsT0I5V3c