Solve 2/3*5x^2=2y

$$\frac { 2 } { 3 } \times 5 x ^ { 2 } = 2 y$$

Solve for y

$$y=\frac{5x^{2}}{3}$$

Steps for Solving Linear Equation

Multiply \frac{2}{3} and 5 to get \frac{10}{3}.

$$\frac{10}{3}x^{2}=2y$$

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

$$2y=\frac{10}{3}x^{2}$$

The equation is in standard form.

$$2y=\frac{10x^{2}}{3}$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{10x^{2}}{2\times 3}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{10x^{2}}{2\times 3}$$

Divide \frac{10x^{2}}{3} by 2.

$$y=\frac{5x^{2}}{3}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{15y}}{5}$$

$$x=\frac{\sqrt{15y}}{5}$$

Solve for x

$$x=\frac{\sqrt{15y}}{5}$$

$$x=-\frac{\sqrt{15y}}{5}\text{, }y\geq 0$$