Question

Factor 9x^+12x+4=0 please help

Answer 1

Answer:

(3x+2) ^2

x = -2/3

Step-by-step explanation:

9x^2+12x+4 = 0

We need to recognize that this is perfect squares

(a + b)2 = a^2 + 2ab + b^2;

Where a = 3x  and b =2

a^2 = 9x^2 2ab = 2*3x*2 = 12x and b^2 = 2^2 =4

So we can factor this as (3x+2) ^2

If you want to solve

We can use the zero product property

(3x+2) ^2 =0

Take the square root of each side

3x+2 =0

Subtract 2 from each side

3x=-2

Divide by 3

3x/3 = -2/3