SOLUTION: 3ax+6=a^2x+2a=

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 3ax+6=a^2x+2a=       Log On


   

Question 189555: 3ax+6=a^2x+2a=
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3ax%2B6=a%5E2x%2B2a Start with the given equation.


3ax=a%5E2x%2B2a-6 Subtract 6 from both sides.


3ax-a%5E2x=2a-6 Subtract a%5E2x from both sides.


x%283a-a%5E2%29=2a-6 Factor out the GCF on the left side


x=%282a-6%29%2F%283a-a%5E2%29 Divide both sides by 3a-a%5E2.


x=%282%28a-3%29%29%2F%283a-a%5E2%29 Factor the numerator


x=%282%28a-3%29%29%2F%28-a%28a-3%29%29 Factor the denominator


x=-%282%28a-3%29%29%2F%28a%28a-3%29%29 Reduce


x=-%282%2Ahighlight%28%28a-3%29%29%29%2F%28a%2Ahighlight%28%28a-3%29%29%29 Highlight the common terms.


x=-%282%2Across%28%28a-3%29%29%29%2F%28a%2Across%28%28a-3%29%29%29 Cancel out the common terms.


x=-2%2Fa Simplify.


So the answer is x=-2%2Fa where a%3C%3E0 or a%3C%3E3