SOLUTION: If (a) does not equal (b), solve for x in terms of (a) and (b): x^2+ax=-b(a+x)

Question 72679: If (a) does not equal (b), solve for x in terms of (a) and (b):
x^2+ax=-b(a+x)
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
If (a) does not equal (b), solve for x in terms of (a) and (b):
get rid of parens
add ab and bx to both sides
rearrange into standard form for a quadratic eq.
This is a quadratic equation in standard form where"

By inspection, we can see that the equation can be factored because the B coefficient is the sum of the product of the C coefficient. This is always the case, when A=1. So we have:

and

and
or

Hope this helps-------------------ptaylor

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