Question

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

Answer 1

`x=-5`

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

x=-1 or x=-2

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