we have
[tex] 3x^{2} + 18x - 8 = 0 [/tex]
Step [tex] 1 [/tex]
Move the constants to the right side
[tex] 3x^{2} + 18x = 8 [/tex]
Step [tex] 2 [/tex]
Factor 3 out of the variable terms
[tex] 3(x^{2} + 6x) = 8 [/tex]
Step [tex] 3 [/tex]
Add [tex] 27 [/tex] to both sides of the equation
[tex] 3(x^{2} + 6x+9) = 8+27 [/tex]
[tex] 3(x^{2} + 6x+9) = 35 [/tex]
Step [tex] 4 [/tex]
Write the polynomial as a binomial squared
[tex] 3(x+3)^{2} = 35 [/tex]
therefore
the answer is
Factor 3 out of the variable terms.
