Question

Solve for x: (x^2+2x)+x+2=0

Answer 1

Answer:

$x=-5$

Step-by-step explanation:

$(x^{2} +2x)+x+2=0\\(3x^{2} )+x+2=0\\3x^{2} +x=-2\\9x+x=-2\\10x=-2\\x=-5$

Hope This Helps!!!!!

Answer 2

Answer:

x=-1 or  x=-2

Step-by-step explanation:

Given Equation:

$(x^2+2x)+x+2=0$

Solving the like terms:

$x^2+2x+x+2=0\\\\x^2+3x+2=0$

Solving the quadratic equation using Factorization Method:

$x^2+x+2x+2=0$

Taking common from the equation to make the factors:

$x(x+1)+2(x+1)=0\\\\(x+1)(x+2)=0\\\\x+1=0\\\\x=-1\\\\OR\\\\x+2=0\\\\x=-2$

The solution of the equation is:

x=-1 or  x=-2