How do you simplify #(2x + 1) ( x - 3) = - x ( x - 1)#?

1 Answer
Tom M.
Nov 21, 2017

#x^2-2x-1#

Explanation:

First off, we need to expand the brackets. Generally, you should only expand brackets if you absolutely need to, but in this case, there is nothing else useful we can do.

#2x^2+x-6x-3=-x^2+x#
#2x^2-5x-3=-x^2+x#
Since this is a quadratic, we move everything onto one side, making it equal to zero. Let's add #x^2# and subtract #x# from both sides.

#3x^2-6x-3=0#
We can simplify by dividing by 3:

#x^2-2x-1=0#

This is the simplest form of the quadratic; we cannot factorize this. If you needed solutions to this, you could use the quadratic formula, but if you have not studied this yet, don't worry.

Related questions
Impact of this question
515 views around the world
You can reuse this answer
Creative Commons License