Solve x30/y-1/2*9.8{left(30/yright)}^2=2.44

$$x \frac{ 30 }{ y } - \frac{ 1 }{ 2 } \times 9.8 { \left( \frac{ 30 }{ y } \right) }^{ 2 } =2.44$$

Solve for x

$$x=\frac{61y}{750}+\frac{147}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2y, the least common multiple of y,2.

$$x\times 2\times 30-\frac{1}{2}\times 9.8\times \left(\frac{30}{y}\right)^{2}\times 2y=4.88y$$

Multiply 2 and 30 to get 60.

$$x\times 60-\frac{1}{2}\times 9.8\times \left(\frac{30}{y}\right)^{2}\times 2y=4.88y$$

Multiply \frac{1}{2} and 9.8 to get \frac{49}{10}.

$$x\times 60-\frac{49}{10}\times \left(\frac{30}{y}\right)^{2}\times 2y=4.88y$$

To raise \frac{30}{y} to a power, raise both numerator and denominator to the power and then divide.

$$x\times 60-\frac{49}{10}\times \frac{30^{2}}{y^{2}}\times 2y=4.88y$$

Multiply \frac{49}{10} and 2 to get \frac{49}{5}.

$$x\times 60-\frac{49}{5}\times \frac{30^{2}}{y^{2}}y=4.88y$$

Calculate 30 to the power of 2 and get 900.

$$x\times 60-\frac{49}{5}\times \frac{900}{y^{2}}y=4.88y$$

Multiply \frac{49}{5} times \frac{900}{y^{2}} by multiplying numerator times numerator and denominator times denominator.

$$x\times 60-\frac{49\times 900}{5y^{2}}y=4.88y$$

Cancel out 5 in both numerator and denominator.

$$x\times 60-\frac{49\times 180}{y^{2}}y=4.88y$$

Express \frac{49\times 180}{y^{2}}y as a single fraction.

$$x\times 60-\frac{49\times 180y}{y^{2}}=4.88y$$

Cancel out y in both numerator and denominator.

$$x\times 60-\frac{49\times 180}{y}=4.88y$$

Multiply 49 and 180 to get 8820.

$$x\times 60-\frac{8820}{y}=4.88y$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x\times 60 times \frac{y}{y}.

$$\frac{x\times 60y}{y}-\frac{8820}{y}=4.88y$$

Since \frac{x\times 60y}{y} and \frac{8820}{y} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x\times 60y-8820}{y}=4.88y$$

Multiply both sides of the equation by y.

$$x\times 60y-8820=4.88yy$$

Multiply y and y to get y^{2}.

$$x\times 60y-8820=4.88y^{2}$$

Add 8820 to both sides.

$$x\times 60y=4.88y^{2}+8820$$

The equation is in standard form.

$$60yx=\frac{122y^{2}}{25}+8820$$

Divide both sides by 60y.

$$\frac{60yx}{60y}=\frac{\frac{122y^{2}}{25}+8820}{60y}$$

Dividing by 60y undoes the multiplication by 60y.

$$x=\frac{\frac{122y^{2}}{25}+8820}{60y}$$

Divide \frac{122y^{2}}{25}+8820 by 60y.

$$x=\frac{61y}{750}+\frac{147}{y}$$

Solve for y (complex solution)

$$y=\frac{-15\sqrt{625x^{2}-29890}+375x}{61}$$

$$y=\frac{15\sqrt{625x^{2}-29890}+375x}{61}$$

Solve for y

$$y=\frac{15\sqrt{625x^{2}-29890}+375x}{61}$$

$$y=\frac{-15\sqrt{625x^{2}-29890}+375x}{61}\text{, }|x|\geq \frac{7\sqrt{610}}{25}$$