SOLUTION: I need help with this equation 3x2-16x-12=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I need help with this equation 3x2-16x-12=0      Log On


   

Question 120923: I need help with this equation
3x2-16x-12=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E2-16x-12=0 Start with the given equation

%28x-6%29%283x%2B2%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
x-6=0 or 3x%2B2=0

x=6 or x=-2%2F3 Now solve for x in each case


So our answer is
x=6 or x=-2%2F3


Notice if we graph y=3x%5E2-16x-12 we can see that the roots are x=6 and x=-2%2F3 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+3x%5E2-16x-12%29+