Can somebody tell me the solution for X.

2(x + 3)^2 = 5(x + 3) - 2

Question

Can somebody tell me the solution for X.

2(x + 3)^2 = 5(x + 3) - 2

amistre64 · Answer

quadratics are fun ... make a cleanup variable:  a = x+3,  so x = a-3

2a^2 = 5a - 2 ;  when we know a we know x

amistre64 · Answer

you might either complete the square, or use the quadratic formula

amistre64 · Answer

a stands for x+3,  its just a way to clean up the equation.  solving for a is a simpler process than trying to square and distribute and gather like terms is all

amistre64 · Answer

if we let a = x+3,  then x = a-3

solving for a, gives us a way to find x

anonymous · Answer

-5/2 ?

amistre64 · Answer

reworking this into a more proper format ...

2a^2 = 5a - 2

2a^2 -5a +2 = 0

either way you go you will need to either complete the square of run the quadratic formula, this is just bypassing alot of extra work

amistre64 · Answer

5 +- sqrt(25-4(4))
a =  ----------------- 
                   4


        5 +- sqrt(9)
a =  ----------- 
               4


a = 8/4  or  2/4

therefore;  x+3 = 8/4  or  2/4

anonymous · Answer

I kinda understand it now. Thank you.

amistre64 · Answer

youre welcome,  and yeah:  -5/2 i believe is one solution for it

amistre64 · Answer

1/2 - 3 = -2  1/2 ... -5/2

2 - 3 = -1   is another solution