Solve 2x^2+3x1=0

$$2 { x }^{ 2 } +3x1=0$$

Solve for x_1

$$x_{1}=-\frac{2x^{2}}{3}$$

Steps for Solving Linear Equation

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

$$3x_{1}=-2x^{2}$$

Divide both sides by 3.

$$\frac{3x_{1}}{3}=-\frac{2x^{2}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x_{1}=-\frac{2x^{2}}{3}$$

Solve for x (complex solution)

$$x=-\frac{i\sqrt{6x_{1}}}{2}$$

$$x=\frac{i\sqrt{6x_{1}}}{2}$$

Solve for x

$$x=\frac{\sqrt{-6x_{1}}}{2}$$

$$x=-\frac{\sqrt{-6x_{1}}}{2}\text{, }x_{1}\leq 0$$