Solve (44sqrt{2})^2*0.01=0.02x

$$( 44 \sqrt { 2 } ) ^ { 2 } \times 0.01 = 0.02 x$$

Solve for x

$$x=1936$$

Steps for Solving Linear Equation

Expand \left(44\sqrt{2}\right)^{2}.

$$0.01\times 44^{2}\left(\sqrt{2}\right)^{2}=0.02x$$

Calculate 44 to the power of 2 and get 1936.

$$0.01\times 1936\left(\sqrt{2}\right)^{2}=0.02x$$

The square of \sqrt{2} is 2.

$$0.01\times 1936\times 2=0.02x$$

Multiply 1936 and 2 to get 3872.

$$0.01\times 3872=0.02x$$

Multiply 0.01 and 3872 to get 38.72.

$$38.72=0.02x$$

Swap sides so that all variable terms are on the left hand side.

$$0.02x=38.72$$

Divide both sides by 0.02.

$$x=\frac{38.72}{0.02}$$

Expand \frac{38.72}{0.02} by multiplying both numerator and the denominator by 100.

$$x=\frac{3872}{2}$$

Divide 3872 by 2 to get 1936.

$$x=1936$$