We need to rewrite the equation so it has zero on one side. Subtract 1 from each side to find 3x2 + 2x = 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 3x2 + 2x = x(3x + 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. | 
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