Question

Fatoring Trinomials
x^2+2x=-1

Answer 1

x = -1

Explanation:

`x^2+2x = -1\\=0\\=x^2+2x+1 \\= (x+1)(x+1)\\=(x+1)^2\\\\0 = √((x+1)^2) \\= x+1\\\\x+1=0\\x=-1`

Answer 2

`\Huge \boxed{x=-1}`

Explanation:

`x^2+2x=-1`

Adding 1 to both sides of the equation.

`x^2+2x+1=-1+1`

`x^2 +2x+1=0`

Factoring the left side of the equation.

`x^2 +1x+1x+1=0`

`x(x+1)+1(x+1)=0`

`(x+1)(x+1) = 0`

`(x+1)^2 =0`

Taking the square root of both sides of the equation.

`√((x+1)^2) =√(0)`

`x+1=0`

Subtracting 1 from both sides of the equation.

`x+1-1=0-1`

`x=-1`