# SOLUTION: I am having some difficulty with quadratic equations. The problem is, I don't understand the steps I should take to get the correct answer. Could you possibly show me each step I s

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Question 361402: I am having some difficulty with quadratic equations. The problem is, I don't understand the steps I should take to get the correct answer. Could you possibly show me each step I should take to find the anwer? I appreciate anyone and everyone's help!
Section 11.4, #6
Direction: Solve the equation by making an appropriate substitution.
(2x-4 )^2-6(2x-4)-7=0 (it should say (2x-4) squared)
The correct answer according to the book is: {3/2. 11/2}

Answer by jim_thompson5910(33401)   (Show Source):
You can put this solution on YOUR website!
Start with the given equation.

FOIL

Distribute.

Combine like terms.

Now let's solve the equation using the quadratic formula.

For more help with the Quadratic Formula, check out this solver

 Solved by pluggable solver: Quadratic Formula Let's use the quadratic formula to solve for x: Starting with the general quadratic the general solution using the quadratic equation is: So lets solve ( notice , , and ) Plug in a=4, b=-28, and c=33 Negate -28 to get 28 Square -28 to get 784 (note: remember when you square -28, you must square the negative as well. This is because .) Multiply to get Combine like terms in the radicand (everything under the square root) Simplify the square root (note: If you need help with simplifying the square root, check out this solver) Multiply 2 and 4 to get 8 So now the expression breaks down into two parts or Lets look at the first part: Add the terms in the numerator Divide So one answer is Now lets look at the second part: Subtract the terms in the numerator Divide So another answer is So our solutions are: or