Solve x4+2x2+1=0

$$x4+2x2+1=0$$

Solve for x_2

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

Steps for Solving Linear Equation

Subtract x_{4} from both sides. Anything subtracted from zero gives its negation.

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

Subtract 1 from both sides.

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

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Solve for x_4

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

Solution Steps

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

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

Subtract 1 from both sides.

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