SOLUTION: How would I solve this equation for x? 12x^2 + 21x + 6 = 0

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Question 311298: How would I solve this equation for x?
12x^2 + 21x + 6 = 0
Answer by Stitch(470)   (Show Source): You can put this solution on YOUR website!
You could use the quadratic equation right off the bat, or you could factor out a 3 and then use it.
Quadratic equation:
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=153 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.359611796797792, -1.39038820320221. Here's your graph:
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