Rewrite the equation by completing the square. 4x ^ 2 + 8x + 3 = 0

(x+1) ^2 = 1/4

Step-by-step explanation:

4x ^ 2 + 8x + 3 = 0

Subtract 3 from each side

4x ^ 2 + 8x + 3-3 = 0-3

4x ^ 2 + 8x = - 3

Divide each side by 4

x^2 + 2x = - 3/4

Take the coefficient of x

2

divide by 2

2/2 = 1

Then square it

1^2 = 1

Add this to each side

x^2 + 2x = - 3/4

x^2+2x+1 = - 3/4+1

(x+1) ^2 = 1/4