Question

Find the real solutions of the equation:
(6x+5)^(2)-6(6x+5)+9=0
Thx!! ;)

Answer 1

first of all, simplify it
ax^2+bx+c=0, and you have quadratic equation whose roots is given by http://en.wikipedia.org/wiki/Quadratic_equation

Answer 2

Let 6x +5 = A
\[\large A^2-6A+9=0\]\[\large \implies \left( A-3 \right)^2=0\]
\[A=3\]

Answer 3

\[\therefore 6x+5 =3\]\[\Large x=-\frac13\]