SOLUTION: Find the REAL Solution of the equation: 2(x+1)^2+14(x+1)+20=0

Question 174541: Find the REAL Solution of the equation:
2(x+1)^2+14(x+1)+20=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Let

Replace each with "z"

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

Let's use the quadratic formula to solve for z

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.

or Plug in for each equation.

or Subtract 1 from both sides (for each equation).

or Combine like terms (for each equation).

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Answer:

So the solutions are or

Note: both of these solutions are real.
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