SOLUTION: 18x^2 +9x + 1=0 answer: x= -1/3 or -1/6 need a full break down of how my text book got this answer

Question 184810: 18x^2 +9x + 1=0

answer: x= -1/3 or -1/6

need a full break down of how my text book got this answer
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

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 .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or

Note: the order of the solutions does not matter
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