Solve 1.2div4*0.12*0.45/0.55*[2(1.2-0.48)0.1-0.1^2]x=1

$$1.2 \div 4 \times 0.12 \times \frac { 0.45 } { 0.55 } \times [ 2 ( 1.2 - 0.48 ) 0.1 - 0.1 ^ { 2 } ] x = 1$$

Solve for x

$$x = \frac{1375000}{5427} = 253\frac{1969}{5427} \approx 253.362815552$$

Steps for Solving Linear Equation

Expand \frac{1.2}{4} by multiplying both numerator and the denominator by 10.

$$\frac{12}{40}\times 0.12\times \frac{0.45}{0.55}\left(2\left(1.2-0.48\right)\times 0.1-0.1^{2}\right)x=1$$

Reduce the fraction \frac{12}{40} to lowest terms by extracting and canceling out 4.

$$\frac{3}{10}\times 0.12\times \frac{0.45}{0.55}\left(2\left(1.2-0.48\right)\times 0.1-0.1^{2}\right)x=1$$

Convert decimal number 0.12 to fraction \frac{12}{100}. Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{3}{10}\times \frac{3}{25}\times \frac{0.45}{0.55}\left(2\left(1.2-0.48\right)\times 0.1-0.1^{2}\right)x=1$$

Multiply \frac{3}{10} times \frac{3}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3}{10\times 25}\times \frac{0.45}{0.55}\left(2\left(1.2-0.48\right)\times 0.1-0.1^{2}\right)x=1$$

Do the multiplications in the fraction \frac{3\times 3}{10\times 25}.

$$\frac{9}{250}\times \frac{0.45}{0.55}\left(2\left(1.2-0.48\right)\times 0.1-0.1^{2}\right)x=1$$

Expand \frac{0.45}{0.55} by multiplying both numerator and the denominator by 100.

$$\frac{9}{250}\times \frac{45}{55}\left(2\left(1.2-0.48\right)\times 0.1-0.1^{2}\right)x=1$$

Reduce the fraction \frac{45}{55} to lowest terms by extracting and canceling out 5.

$$\frac{9}{250}\times \frac{9}{11}\left(2\left(1.2-0.48\right)\times 0.1-0.1^{2}\right)x=1$$

Multiply \frac{9}{250} times \frac{9}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 9}{250\times 11}\left(2\left(1.2-0.48\right)\times 0.1-0.1^{2}\right)x=1$$

Do the multiplications in the fraction \frac{9\times 9}{250\times 11}.

$$\frac{81}{2750}\left(2\left(1.2-0.48\right)\times 0.1-0.1^{2}\right)x=1$$

Subtract 0.48 from 1.2 to get 0.72.

$$\frac{81}{2750}\left(2\times 0.72\times 0.1-0.1^{2}\right)x=1$$

Multiply 2 and 0.72 to get 1.44.

$$\frac{81}{2750}\left(1.44\times 0.1-0.1^{2}\right)x=1$$

Multiply 1.44 and 0.1 to get 0.144.

$$\frac{81}{2750}\left(0.144-0.1^{2}\right)x=1$$

Calculate 0.1 to the power of 2 and get 0.01.

$$\frac{81}{2750}\left(0.144-0.01\right)x=1$$

Subtract 0.01 from 0.144 to get 0.134.

$$\frac{81}{2750}\times 0.134x=1$$

Convert decimal number 0.134 to fraction \frac{134}{1000}. Reduce the fraction \frac{134}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{81}{2750}\times \frac{67}{500}x=1$$

Multiply \frac{81}{2750} times \frac{67}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{81\times 67}{2750\times 500}x=1$$

Do the multiplications in the fraction \frac{81\times 67}{2750\times 500}.

$$\frac{5427}{1375000}x=1$$

Multiply both sides by \frac{1375000}{5427}, the reciprocal of \frac{5427}{1375000}.

$$x=1\times \frac{1375000}{5427}$$

Multiply 1 and \frac{1375000}{5427} to get \frac{1375000}{5427}.

$$x=\frac{1375000}{5427}$$