What is x if #(4x+3)^2=7#?
First we expand the left hand side of the equation, by multiplying
Now we get all terms to one side and combine
Now we can divide all by the constant
Now we can divide
Which simplifies to
Now we just plug it in
You can split this up like so
After multipying and combining like terms we get
This then becomes
They have common denominators so we can have this
This problem can be done without the use of the quadratic formula.
Let's take the square root of both sides of the equation:
Dividing both sides by