Solve x2+4x+1=0

$$x2+4x+1=0$$

Solve for x

$$x=\frac{-x_{2}-1}{4}$$

Steps for Solving Linear Equation

Subtract x_{2} from both sides. Anything subtracted from zero gives its negation.

$$4x+1=-x_{2}$$

Subtract 1 from both sides.

$$4x=-x_{2}-1$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{-x_{2}-1}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{-x_{2}-1}{4}$$

Solve for x_2

$$x_{2}=-4x-1$$

Solution Steps

Subtract 4x from both sides. Anything subtracted from zero gives its negation.

$$x_{2}+1=-4x$$

Subtract 1 from both sides.

$$x_{2}=-4x-1$$