SOLUTION: solve for x: 4x(x-5)-5x(x-4)=-1

Question 624779: solve for x: 4x(x-5)-5x(x-4)=-1
Answer by reynard2007(52) (Show Source): You can put this solution on YOUR website!
Here's how I did it:
This is given
Distribute 4x and -5x to the contents of the parenthesis next to them. DPMA?
Add like terms: and
Transpose -1 to the other side of the equation, which makes it positive
In solving equations like this, oyu are allowed to multiply a number to both sides of the equation, so long as you do it for both sides of the equation. Here, multiply -1 to both sides turning to positive and to
If you are familiar with the special product called DOTS (Difference of two squares) this will make solving the equation easier. Given you can factor it to and . Equate both of these to 0 and you get:
-->
and
-->

I can't find a way to reply to your comment so, I just edited this.
when ;

You can try the same with
Hope this does it for your problem.

RELATED QUESTIONS
Solve for x.... (answered by vleith)

4x(x-5)-5x(x-4)=-1 (answered by clarkp)

I need to solve for x 4x - 3 over 4 = 5x + 1 over... (answered by Mathtut)

solve for x... (answered by jim_thompson5910)

solve for x... (answered by checkley77)

solve for x.... (answered by stanbon)

solve for x.... (answered by ankor@dixie-net.com)

Solve for x. 4x(x-2) - 5x(x-1) =... (answered by josmiceli)

solve for x... (answered by robertb)