i need to solve this graphically but i forgot my graphing calculator at school x^3+2x=12x

You can solve x^3 + 2x = 12x using the following
steps.

x^3 + 2x = 12x

take all
the terms to one side

=> x^3 + 2x - 12x =
0

subtract the common
terms

=> x^3 - 10 x
=0

=> x (x^2 -10)
=0

this gives either x = 0 or x^2 - 10
=0

For x^2 - 10 =0

x can be
equal to sqrt 10 and - sqrt 10

So we have three values of x
that solve the equation x = 0, x = sqrt 10 and x = -sqrt
10

The required values of x are 0, sqrt 10
and - sqrt 10