Find all solutions to the equation $x^2 - 11x - 42 = -2x + 10 - x^2 - 5x + 16$.
Combining all the like terms, we have \(2x^2-4x-68=0\).
Using the qudratic equation to find x, we come up with \(x=1+\sqrt{35},\:x=1-\sqrt{35}\)
This problem isn't hard really, It's just moving all terms to one side and combining like terms, before using the quadratic equation to find x.
Thanks! :)