Solve lambda^2=2x+3x*2

$$\lambda ^ { 2 } = 2 x + 3 x \cdot 2$$

Solve for x

$$x=\frac{\lambda ^{2}}{8}$$

Steps for Solving Linear Equation

Multiply 3 and 2 to get 6.

$$\lambda ^{2}=2x+6x$$

Combine 2x and 6x to get 8x.

$$\lambda ^{2}=8x$$

Swap sides so that all variable terms are on the left hand side.

$$8x=\lambda ^{2}$$

Divide both sides by 8.

$$\frac{8x}{8}=\frac{\lambda ^{2}}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$x=\frac{\lambda ^{2}}{8}$$

Solve for λ (complex solution)

$$\lambda =-2\sqrt{2x}$$

$$\lambda =2\sqrt{2x}$$

Solve for λ

$$\lambda =2\sqrt{2x}$$

$$\lambda =-2\sqrt{2x}\text{, }x\geq 0$$