Solve 25*0.04V^2/0.4+6v=80

$$\frac { 25 \times 0.04 V ^ { 2 } } { 0.4 } + 6 v = 80$$

Solve for v

$$v=-\frac{5V^{2}}{12}+\frac{40}{3}$$

Steps for Solving Linear Equation

Multiply 25 and 0.04 to get 1.

$$\frac{V^{2}}{0.4}+6v=80$$

Subtract \frac{V^{2}}{0.4} from both sides.

$$6v=80-\frac{V^{2}}{0.4}$$

The equation is in standard form.

$$6v=-\frac{5V^{2}}{2}+80$$

Divide both sides by 6.

$$\frac{6v}{6}=\frac{-\frac{5V^{2}}{2}+80}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$v=\frac{-\frac{5V^{2}}{2}+80}{6}$$

Divide 80-\frac{5V^{2}}{2} by 6.

$$v=-\frac{5V^{2}}{12}+\frac{40}{3}$$

Solve for V (complex solution)

$$V=-\frac{2\sqrt{200-15v}}{5}$$

$$V=\frac{2\sqrt{200-15v}}{5}$$

Solve for V

$$V=\frac{2\sqrt{200-15v}}{5}$$

$$V=-\frac{2\sqrt{200-15v}}{5}\text{, }v\leq \frac{40}{3}$$