X2+ 6X= –9THIS EQUATION NEEDS TO BE PUT INTO STANDARD FORM BY ADDIN...

2. x

²

+ 6x= –9This equation needs to be put into standard form by adding 9 to both sidesof the equation. x

²

+ 6x+ 9 = –9 + 9x

²

+ 6x+ 9 = 0The factors of this trinomial will be two numbers whose sum is 6 and whose product is 9. The fac-tors are x+ 3 and x+ 3 because 3 + 3 = 6 and 3×3 = 9.The equation becomes (x+ 3)(x+ 3) = 0Set each factor equal to zero and solve x+ 3 = 0 or x+ 3 = 0x= –3 or x= –3Because both factors were the same, this was a perfect square trinomial. The solution is {–3}.