SOLUTION: converting 4x^2 +32x+2y+10=0 into standard form

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Question 730118: converting 4x^2 +32x+2y+10=0 into standard form

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
From the given, 4x^2 +32x+2y+10=0 to standard y=a(x-h)^2+k,

First, divide by 2 and then solve for y. Put into general form. Now, Complete the Square and continue putting into whatever corresponds to y=a%28x-h%29%5E2%2Bk.

2x%5E2%2B16x%2By%2B5=0
y=-2x%5E2-16x-5
And before going into Completing the Square, you want to factor part of the right-member expression,
y=-2%28x%5E2%2B8x%29-5
From there, you need to identify the square term to add and subtract in order to perform the rest of the Completing of the Square process.

(Use %288%2F2%29%5E2=16, and ADD it INSIDE the parentheses and SUBTRACT %28-2%29%2A%2816%29 OUTSIDE the parentheses...)