SOLUTION: {{{ 25y^2-4x^2-8x-104=0 }}} Idk how to find the center teach me please

Question 1027261:
Idk how to find the center teach me please
Answer by purpleoj(8) (Show Source): You can put this solution on YOUR website!
Okay.
I'm going to start by factoring the -4 away from the "x"s and -104.

Now, you want to make the X section into a binomial which can be squared easily, and you start by dividing the middle number by 2 and then squaring it to get 1. (sorry if that bit was unclear)

Now you have 25 left over. This section of your equation now looks like:

Multiply the -4 and 25 to get -100 (which I will move to the other end of the equation). Your entire equation now looks like:

However, this is not simplified. Now, divide both sides by 100, and you get:

If it was just an , our center would be at the origin (0,0). However, since it is , we subtract 1 from the center x-coordinate out the 1 in . The y-coordinate was unaffected.
Your center coordinate is (-1,0).

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