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Homework Statement
Given that for all values of x:
3x^2 + 12x + 5 = p(x +q)^2 + r
a) find the values of p, q and r
b) solve the equation 3x^2 + 12x + 5 = 0
The Attempt at a Solution
I'm completely lost here but here's my attempt at a solution - I'm pretty sure that I did it all wrong:
I divided them by 3 and moved the last bit to the other side of the equal sign and made it a minus. I tried using the complete the square method:
x^2+4x=-7/3
After that I have no idea what to do... I don't have a clue how I find the values of p, q and r.