SOLUTION: Let f(x)={{{14x^3 + 28x^2-46x}}} and g(x) = 2x + 7. Which is the solution set to the equation {{{1/12}}}f(x)=g(x) please show the steps you used to solve this! thank you!

Algebra ->  Equations -> SOLUTION: Let f(x)={{{14x^3 + 28x^2-46x}}} and g(x) = 2x + 7. Which is the solution set to the equation {{{1/12}}}f(x)=g(x) please show the steps you used to solve this! thank you!      Log On


   



Question 966856: Let f(x)=14x%5E3+%2B+28x%5E2-46x
and g(x) = 2x + 7. Which is the solution set to the equation 1%2F12f(x)=g(x)
please show the steps you used to solve this! thank you!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=12g%28x%29
14x%5E3%2B28x%5E2-46x=12%282x%2B7%29
14x%5E3%2B28x%5E2-46x=24x%2B84
14x%5E3%2B28x%5E2-46x-24x-84=0
14x%5E3%2B28x%5E2-70x-84=0
14%28x%5E3%2B2x%5E2-5x-6%29=0
x%5E3%2B2x%5E2-5x-6=0
Graphing the equation,
.
There are zeros at x=-3,x=-1, and x=2,
%28x%2B3%29%28x%2B1%29%28x-2%29=0