SOLUTION: Find all real solutions of the equation. 7x^3-x+1=x^3+3x^2+x

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Question 1037661: Find all real solutions of the equation.
7x^3-x+1=x^3+3x^2+x
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify and use Rational Roots Theorem.

6x%5E3-3x%5E2-2x%2B1=0

List of roots to check are pos and neg 1/6, 1/2, 1/3, 1. You use synthetic division for these checks.


1%2F2 is one of the roots, meaning a binomial factor is %28x-1%2F2%29. This leaves a quadratic factor still to analyze, so you could apply general solution formula for quadratic equation.