SOLUTION: -16t^2-12t=2 I know the answer but I need help figuring out how to get to the answer. Thank you.

Question 574640: -16t^2-12t=2
I know the answer but I need help figuring out how to get to the answer. Thank you.
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Get every term to the left side.

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

Let's use the quadratic formula to solve for "t":

Start with the quadratic formula

Plug in , , and

Negate to get .

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 josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Divide both sides by

Divide both sides by

Complete the square
Take of the coefficient of ,
square it, and add it to both sides

take the square root of both sides ( both + and - roots )

and

----------------
check the answers:

and

OK