Question 157033
Equate the equation to zero by combining all terms to one side:
{{{3x^2 + 6x = 2x^2 - 9}}} -------------> working eqn
{{{3x^2+6x-2x^2+9=0}}}, do the operations (add or subtract)
{{{x^2+6x+9=0}}}, factor out since it's a perfect square
{{{(x+3)(x+3)=0}}} ---------> final answer
To check, subsitute {{{x=-3}}} to your working eqn:
{{{3(-3)^2+(6)(-3)=2(-3)^2-9}}}
{{{(3)(9)-18=18-9}}}
{{{27-18=18-9}}}
{{{9=9}}}
Thank you,
Jojo