After factoring 4x^2+8X+4

how do I get the answers by using zero property

4(x+1)^2 = 0

x+1 = 0
x = -1

To find the solutions of the quadratic equation by using the zero property, you need to set the equation equal to zero and solve for x.

Given quadratic equation: 4x^2 + 8x + 4 = 0

Step 1: Divide the equation by 4 to simplify it:
(x^2 + 2x + 1) = 0

Step 2: Factor the quadratic expression (x^2 + 2x + 1) by finding two binomials that multiply to give the quadratic expression:
(x + 1)(x + 1) = 0
or
(x + 1)^2 = 0

Step 3: Set each factor equal to zero and solve for x:
x + 1 = 0
x = -1

The solution to the equation 4x^2 + 8x + 4 = 0 using the zero property is x = -1.

So, the only solution for the equation is x = -1.