My Math Forum Do I not list simplest form?

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 October 16th, 2014, 09:00 PM #1 Senior Member   Joined: Aug 2014 From: Mars Posts: 101 Thanks: 9 Do I not list simplest form? I'm getting into quadratic equations and final answers are coming in the form of $\displaystyle 0=8y^2+5y$ instead of $\displaystyle 0=8y+5$ which both come out to be the same answer. So is the author leaving out a process?
 October 16th, 2014, 09:17 PM #2 Senior Member   Joined: Jul 2014 From: भारत Posts: 1,178 Thanks: 230 The latter is the simplification of the former. $\displaystyle \textbf{Transpose } (5y)$ to the left and divide the entire equation by y. Then transpose 5 to the right again, you get the same. Last edited by skipjack; November 22nd, 2014 at 04:02 AM.
 October 16th, 2014, 09:45 PM #3 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,900 Thanks: 1094 Math Focus: Elementary mathematics and beyond 0 = 8y + 5 effectively omits the solution y = 0. Thanks from topsquark
 October 16th, 2014, 10:32 PM #4 Senior Member   Joined: Aug 2014 From: Mars Posts: 101 Thanks: 9 I thank you guys for all your help, but I sometimes get the feeling you love trolling everyone. What? What?
 October 17th, 2014, 02:22 AM #5 Math Team     Joined: May 2013 From: The Astral plane Posts: 1,981 Thanks: 790 Math Focus: Wibbly wobbly timey-wimey stuff. What trolling? $\displaystyle 8y^2 + 5y = 0$ $\displaystyle y(8y + 5) = 0$ We have the two possibilities: $\displaystyle y = 0 \text{ or } 8y + 5 = 0$ So we have two solutions: $\displaystyle y = 0 \text{ and }y = -\frac{5}{8}$ The equation $\displaystyle 8y + 5 = 0$ only has one solution $\displaystyle y = -\frac{5}{8}$ So what greg1313 said is perfectly accurate...The difference between the two equations is the existence of the y = 0 solution. How is this trolling? -Dan Thanks from Opposite
 October 17th, 2014, 03:11 AM #6 Senior Member   Joined: Aug 2014 From: Mars Posts: 101 Thanks: 9 The question is, if I was asked to put this in simplest form, which one would be correct? Neither of your responses said this. Though I do like how it is pointed out that there is a third option of zero on one of the problems.
 October 17th, 2014, 03:22 AM #7 Math Team     Joined: May 2013 From: The Astral plane Posts: 1,981 Thanks: 790 Math Focus: Wibbly wobbly timey-wimey stuff. They are both in simplest form as they both have a different set of solutions. They are not the same equation. -Dan Thanks from Opposite

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