Solve x=1/2*.8sqrt{10/.025}

$$x= \frac{ 1 }{ 2 \times .8 } \sqrt{ \frac{ 10 }{ .025 } }$$

Solve for x

$$x=12.5$$

Steps for Solving Linear Equation

Multiply 2 and 0.8 to get 1.6.

$$x=\frac{1}{1.6}\sqrt{\frac{10}{0.025}}$$

Expand \frac{1}{1.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{10}{16}\sqrt{\frac{10}{0.025}}$$

Reduce the fraction \frac{10}{16} to lowest terms by extracting and canceling out 2.

$$x=\frac{5}{8}\sqrt{\frac{10}{0.025}}$$

Expand \frac{10}{0.025} by multiplying both numerator and the denominator by 1000.

$$x=\frac{5}{8}\sqrt{\frac{10000}{25}}$$

Divide 10000 by 25 to get 400.

$$x=\frac{5}{8}\sqrt{400}$$

Calculate the square root of 400 and get 20.

$$x=\frac{5}{8}\times 20$$

Express \frac{5}{8}\times 20 as a single fraction.

$$x=\frac{5\times 20}{8}$$

Multiply 5 and 20 to get 100.

$$x=\frac{100}{8}$$

Reduce the fraction \frac{100}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{25}{2}$$

Assign x

$$x≔12.5$$