SOLUTION: 3x^2+48x=-24 solve the equation by completing the square. final answer should be completely simplified and in EXACT form

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Question 458858: 3x^2+48x=-24
solve the equation by completing the square. final answer should be completely simplified and in EXACT form
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3x^2 + 48x = -24
:
Simplify, divide be 3
x^2 + 16x = -8
:
Complete the square
x^2 + 16x + __ = -8
:
To complete the square, divide the coefficient of x by 2 and square it. (8^2)
add to both sides
x^2 + 16x + 64 = -8 + 64
x^2 + 16x + 64 = 56
:
Which is
(x+8)^2 = 56
:
The square root of both sides
x + 8 = +/-sqrt%2856%29
Factor out the perfect square inside the radical
x + 8 = +/-sqrt%284%2A14%29
extract the {square
x + 8 = +/-2%2Asqrt%2814%29
Two solutions
x = -8+%2B+2sqrt%2814%29
and
x = -8+-+2sqrt%2814%29