Question

Fatoring Trinomials x^2+2x=-1

Answer 1

Answer:

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

Step-by-step 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.

$\sqrt{(x+1)^2} =\sqrt{0}$

$x+1=0$

Subtracting 1 from both sides of the equation.

$x+1-1=0-1$

$x=-1$

Answer 2

Answer:

x = -1

Step-by-step explanation:

$x^2+2x = -1\\=0\\=x^2+2x+1 \\= (x+1)(x+1)\\=(x+1)^2\\\\0 = \sqrt{(x+1)^2} \\= x+1\\\\x+1=0\\x=-1$