Complete the square and then factor.

x^2+4x=7

The first term is, x2 its coefficient is 1.

The middle term is, + 4x its coefficient is 4.

The last term, "the constant", is - 7

Step-1 : Multiply the coefficient of the first term by the constant 1 • - 7 = - 7

Step-2 : Find two factors of - 7 whose sum equals the coefficient of the middle term, which is 4.

-7 + 1 = - 6 - 1 + 7 = 6