Given the expression;
4x^2 + 28x + 49 = 0
We are to rewrite using the completing the square method
First we need to subtract 49 from both sides of the equation
4x^2 + 28x + 49-49 = 0-49
x^2 + 28x = -49
Next is to add the square of the half of the coefficient of x to both sides of the equation as shown;
Add {1/2(28)}^2 = 14^2 = 196
The equation becomes
x^2 + 28x + 196= -49 + 196
On factorizing;
(x+14)^2 = 147
hence the required equation is (x+14)^2 = 147