Solve 1/2*3.2*(1.8)^2*82.9*10=0.9*0.226x

$$\frac { 1 } { 2 } \times 3.2 \times ( 1.8 ) ^ { 2 } \times 82.9 \times 10 = 0.9 \times 0.226 x$$

Solve for x

$$x = \frac{2387520}{113} = 21128\frac{56}{113} \approx 21128.495575221$$

Steps for Solving Linear Equation

Convert decimal number 3.2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{16}{5}\times 1.8^{2}\times 82.9\times 10=0.9\times 0.226x$$

Multiply \frac{1}{2} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 16}{2\times 5}\times 1.8^{2}\times 82.9\times 10=0.9\times 0.226x$$

Do the multiplications in the fraction \frac{1\times 16}{2\times 5}.

$$\frac{16}{10}\times 1.8^{2}\times 82.9\times 10=0.9\times 0.226x$$

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

$$\frac{8}{5}\times 1.8^{2}\times 82.9\times 10=0.9\times 0.226x$$

Calculate 1.8 to the power of 2 and get 3.24.

$$\frac{8}{5}\times 3.24\times 82.9\times 10=0.9\times 0.226x$$

Convert decimal number 3.24 to fraction \frac{324}{100}. Reduce the fraction \frac{324}{100} to lowest terms by extracting and canceling out 4.

$$\frac{8}{5}\times \frac{81}{25}\times 82.9\times 10=0.9\times 0.226x$$

Multiply \frac{8}{5} times \frac{81}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 81}{5\times 25}\times 82.9\times 10=0.9\times 0.226x$$

Do the multiplications in the fraction \frac{8\times 81}{5\times 25}.

$$\frac{648}{125}\times 82.9\times 10=0.9\times 0.226x$$

Convert decimal number 82.9 to fraction \frac{829}{10}.

$$\frac{648}{125}\times \frac{829}{10}\times 10=0.9\times 0.226x$$

Multiply \frac{648}{125} times \frac{829}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{648\times 829}{125\times 10}\times 10=0.9\times 0.226x$$

Do the multiplications in the fraction \frac{648\times 829}{125\times 10}.

$$\frac{537192}{1250}\times 10=0.9\times 0.226x$$

Reduce the fraction \frac{537192}{1250} to lowest terms by extracting and canceling out 2.

$$\frac{268596}{625}\times 10=0.9\times 0.226x$$

Express \frac{268596}{625}\times 10 as a single fraction.

$$\frac{268596\times 10}{625}=0.9\times 0.226x$$

Multiply 268596 and 10 to get 2685960.

$$\frac{2685960}{625}=0.9\times 0.226x$$

Reduce the fraction \frac{2685960}{625} to lowest terms by extracting and canceling out 5.

$$\frac{537192}{125}=0.9\times 0.226x$$

Multiply 0.9 and 0.226 to get 0.2034.

$$\frac{537192}{125}=0.2034x$$

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

$$0.2034x=\frac{537192}{125}$$

Divide both sides by 0.2034.

$$x=\frac{\frac{537192}{125}}{0.2034}$$

Express \frac{\frac{537192}{125}}{0.2034} as a single fraction.

$$x=\frac{537192}{125\times 0.2034}$$

Multiply 125 and 0.2034 to get 25.425.

$$x=\frac{537192}{25.425}$$

Expand \frac{537192}{25.425} by multiplying both numerator and the denominator by 1000.

$$x=\frac{537192000}{25425}$$

Reduce the fraction \frac{537192000}{25425} to lowest terms by extracting and canceling out 225.

$$x=\frac{2387520}{113}$$