Solve {left(7/5right)}^2*sqrt{36}x=56

$${ \left( \frac{ 7 }{ 5 } \right) }^{ 2 } \times \sqrt{ 36 } x=56$$

Solve for x

$$x = \frac{100}{21} = 4\frac{16}{21} \approx 4.761904762$$

Steps for Solving Linear Equation

Calculate \frac{7}{5} to the power of 2 and get \frac{49}{25}.

$$\frac{49}{25}\sqrt{36}x=56$$

Calculate the square root of 36 and get 6.

$$\frac{49}{25}\times 6x=56$$

Express \frac{49}{25}\times 6 as a single fraction.

$$\frac{49\times 6}{25}x=56$$

Multiply 49 and 6 to get 294.

$$\frac{294}{25}x=56$$

Multiply both sides by \frac{25}{294}, the reciprocal of \frac{294}{25}.

$$x=56\times \frac{25}{294}$$

Express 56\times \frac{25}{294} as a single fraction.

$$x=\frac{56\times 25}{294}$$

Multiply 56 and 25 to get 1400.

$$x=\frac{1400}{294}$$

Reduce the fraction \frac{1400}{294} to lowest terms by extracting and canceling out 14.

$$x=\frac{100}{21}$$