Solve 288^2/11^2x=1556*5

$$\frac { 288 ^ { 2 } } { 11 ^ { 2 } } x = 1556 \cdot 5$$

Solve for x

$$x = \frac{235345}{20736} = 11\frac{7249}{20736} \approx 11.349585262$$

Steps for Solving Linear Equation

Calculate 288 to the power of 2 and get 82944.

$$\frac{82944}{11^{2}}x=1556\times 5$$

Calculate 11 to the power of 2 and get 121.

$$\frac{82944}{121}x=1556\times 5$$

Multiply 1556 and 5 to get 7780.

$$\frac{82944}{121}x=7780$$

Multiply both sides by \frac{121}{82944}, the reciprocal of \frac{82944}{121}.

$$x=7780\times \frac{121}{82944}$$

Express 7780\times \frac{121}{82944} as a single fraction.

$$x=\frac{7780\times 121}{82944}$$

Multiply 7780 and 121 to get 941380.

$$x=\frac{941380}{82944}$$

Reduce the fraction \frac{941380}{82944} to lowest terms by extracting and canceling out 4.

$$x=\frac{235345}{20736}$$