SOLUTION: Factoring to solve equations Solve: {{{ 4p(p-1) - 24 = 3p(p-2)}}}

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Factoring to solve equations Solve: {{{ 4p(p-1) - 24 = 3p(p-2)}}}      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 372359: Factoring to solve equations
Solve:
+4p%28p-1%29+-+24+=+3p%28p-2%29
Answer by unlockmath(1614) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's first expand this out. 4p(p-1) - 24 = 3p(p-2)
4p^2-4p-24 = 3p^2-6p
Subtract 3p^2 and add 6p to both sides to get:
p^2+2p-24=0
Now we can factor this to get:
(p+6)(p-4)=0
Solve for p and we get:
p=-6
p=4
Make sense?
RJ
www.math-unlock.com