SOLUTION: Please help me solve the problem: 12c^2+8c+1=0

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Question 596063: Please help me solve the problem:
12c^2+8c+1=0
Found 2 solutions by jim_thompson5910, ni.rahlan:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "c":

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 solutions are or

Answer by ni.rahlan(1) (Show Source):
You can put this solution on YOUR website!
Simplifying
12c2 + 8c + 1 = 0
Reorder the terms:
1 + 8c + 12c2 = 0
Solving
1 + 8c + 12c2 = 0
Solving for variable 'c'.
Factor a trinomial.
(1 + 2c)(1 + 6c) = 0
Subproblem 1
Set the factor '(1 + 2c)' equal to zero and attempt to solve:
Simplifying
1 + 2c = 0
Solving
1 + 2c = 0
Move all terms containing c to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 2c = 0 + -1
Combine like terms: 1 + -1 = 0
0 + 2c = 0 + -1
2c = 0 + -1
Combine like terms: 0 + -1 = -1
2c = -1
Divide each side by '2'.
c = -0.5
Simplifying
c = -0.5
Subproblem 2
Set the factor '(1 + 6c)' equal to zero and attempt to solve:
Simplifying
1 + 6c = 0
Solving
1 + 6c = 0
Move all terms containing c to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 6c = 0 + -1
Combine like terms: 1 + -1 = 0
0 + 6c = 0 + -1
6c = 0 + -1
Combine like terms: 0 + -1 = -1
6c = -1
Divide each side by '6'.
c = -0.1666666667
Simplifying
c = -0.1666666667
Solution
c = {-0.5, -0.1666666667}