Group and factor out the linear coefient (3x^2+4x)+?=1+???? 3(x^2+4/3x)+?=1+???? 4/3 divided by 2 is 2/3 2/3 squared is 4/9 add negative and negative inside 3(x^2+4/3x+4/9-4/9)+?=1+???? factor perfect square 3((x+2/3)^2-4/9)+?=1+???? distribute 3(x+2/3)^2-4/3+?=1+???? add 4/3 to both sides 3(x+2/3)^2+?=7/3+???? minus? from both sides 3(x+2/3)^2=7/3+????-? dunno what missing number is, maybe hmm 4/9 times 3=4/3 the missing number is 4/3