Find all the solutions of the equation 3x^2 - 4x + x - x^2 - 2 = 0.
Check the final answer first, then review the worked steps.
Problem
Find all the solutions of the equation $3x^2 - 4x + x - x^2 - 2 = 0$.
Answer
\(1/2 and -2\)
Step-by-step solution
First, simplify the equation to $2x^2 - 3x - 2 = 0$. Then, factor the quadratic equation to $(2x+1)(x-2)=0$. The solutions are $x = -1/2$ and $x = 2$.