SOLUTION: {{{3x^2=-12x-1}}} solve using the quadratic formula. I can do the first few steps. I am completely lost on the math involved between the last two steps.

Question 169644: solve using the quadratic formula. I can do the first few steps. I am completely lost on the math involved between the last two steps.
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Add 12x to both sides. Add 1 to both sides.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

or Break up the expression.

So the answers are or

which approximate to or

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
solve using the quadratic formula. I can do the first few steps. I am completely lost on the math involved between the last two steps.
-------------------

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=132 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.0851457844873238, -3.91485421551268. Here's your graph:

Ignore what the solver says about the factors, it's not right unless the coefficient of the x^2 term is 1.
The solutions are:
-2 + sqrt(33)/3
-2 - sqrt(33)/3

RELATED QUESTIONS
When solving this equation i am lost on the last step.Use the quadratic formula to solve... (answered by Alan3354)
Can someone please help me with the following: What are all the possible rational roots... (answered by venugopalramana)
How do I solve this equation using the quadratic formula?... (answered by checkley77)
Hello, I am having a really hard time understanding this question. Can someone please... (answered by lwsshak3)
How do I solve this equation 5x^2+3x-2=0 I need to see the steps as I am struggling to... (answered by mananth)
I am struggling with the concept of finding the missing coordinates on the ordered-pair... (answered by solver91311)
Hello, using the quadratic formula, can you help me solve... (answered by jim_thompson5910)
I have been trying to figure out these equations all weekend and am having a problem... (answered by stanbon,richwmiller,Theo)
i am asked to solve using the quadratic formula... (answered by Alan3354)