How do I factor both sides of this equation
ad-bd=bc-bd
I tried a/b =c/d that was wrong
Look at the common factors on both sides
d(a-b) = b(c-d)
What you want to do now is unclear, but go for it.
Yes Steve it's correct
So for this next equation
(a-b )d = b(c- d )
d=[ ]
can I divide both sides is this equation by a-b would it safe t0 say d=db
You divide both sides by (a-b), not by a - b
d = b(c-d)/(a-b)
To factor both sides of the equation ad - bd = bc - bd, you can follow these steps:
Step 1: Identify the common term on both sides of the equation. In this case, the common term is "-bd".
Step 2: Group the terms. On the left side of the equation, you have (ad - bd), and on the right side, you have (bc - bd). Grouping the terms helps you see the similarities and differences between the two sides.
Step 3: Factor out the common term from both groups. In this case, you can factor out "-bd" from (ad - bd) and (bc - bd), like this:
(ad - bd) = (bc - bd)
-bd(a - 1) = -bd(c - 1)
Step 4: Simplify the equation. Since both sides have "-bd", you can cancel them out:
(a - 1) = (c - 1)
Now, the equation is simplified, and you no longer have the common term "-bd" on both sides.