Solve 77.3%*10*1/2*2*7.8^2=0.9*219x

$$77.3 \% \times 10 \times \frac { 1 } { 2 } \times 2 \times 7.8 ^ { 2 } = 0.9 \times 219 x$$

Solve for x

$$x = \frac{130637}{54750} = 2\frac{21137}{54750} \approx 2.386063927$$

Steps for Solving Linear Equation

Expand \frac{77.3}{100} by multiplying both numerator and the denominator by 10.

$$\frac{773}{1000}\times 10\times \frac{1}{2}\times 2\times 7.8^{2}=0.9\times 219x$$

Express \frac{773}{1000}\times 10 as a single fraction.

$$\frac{773\times 10}{1000}\times \frac{1}{2}\times 2\times 7.8^{2}=0.9\times 219x$$

Multiply 773 and 10 to get 7730.

$$\frac{7730}{1000}\times \frac{1}{2}\times 2\times 7.8^{2}=0.9\times 219x$$

Reduce the fraction \frac{7730}{1000} to lowest terms by extracting and canceling out 10.

$$\frac{773}{100}\times \frac{1}{2}\times 2\times 7.8^{2}=0.9\times 219x$$

Multiply \frac{773}{100} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{773\times 1}{100\times 2}\times 2\times 7.8^{2}=0.9\times 219x$$

Do the multiplications in the fraction \frac{773\times 1}{100\times 2}.

$$\frac{773}{200}\times 2\times 7.8^{2}=0.9\times 219x$$

Express \frac{773}{200}\times 2 as a single fraction.

$$\frac{773\times 2}{200}\times 7.8^{2}=0.9\times 219x$$

Multiply 773 and 2 to get 1546.

$$\frac{1546}{200}\times 7.8^{2}=0.9\times 219x$$

Reduce the fraction \frac{1546}{200} to lowest terms by extracting and canceling out 2.

$$\frac{773}{100}\times 7.8^{2}=0.9\times 219x$$

Calculate 7.8 to the power of 2 and get 60.84.

$$\frac{773}{100}\times 60.84=0.9\times 219x$$

Convert decimal number 60.84 to fraction \frac{6084}{100}. Reduce the fraction \frac{6084}{100} to lowest terms by extracting and canceling out 4.

$$\frac{773}{100}\times \frac{1521}{25}=0.9\times 219x$$

Multiply \frac{773}{100} times \frac{1521}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{773\times 1521}{100\times 25}=0.9\times 219x$$

Do the multiplications in the fraction \frac{773\times 1521}{100\times 25}.

$$\frac{1175733}{2500}=0.9\times 219x$$

Multiply 0.9 and 219 to get 197.1.

$$\frac{1175733}{2500}=197.1x$$

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

$$197.1x=\frac{1175733}{2500}$$

Divide both sides by 197.1.

$$x=\frac{\frac{1175733}{2500}}{197.1}$$

Express \frac{\frac{1175733}{2500}}{197.1} as a single fraction.

$$x=\frac{1175733}{2500\times 197.1}$$

Multiply 2500 and 197.1 to get 492750.

$$x=\frac{1175733}{492750}$$

Reduce the fraction \frac{1175733}{492750} to lowest terms by extracting and canceling out 9.

$$x=\frac{130637}{54750}$$