We need to rewrite the equation so it has zero on one side. Subtract 1 from each side to find 3*x*^{2} + 2*x* = 0. Now we plug the numbers into the quadratic formula to find The solutions are and In this instance, we could also have found the solutions by factoring, since 3*x*^{2} + 2*x* = *x*(3*x* + 2) Thankfully, we get the same solutions whether we factor or use the quadratic formula. Once again, we are assured that all is right in the mathematical universe. Boy, we'll sleep well tonight. |