Solve 4/4*10^6(65536-x)*1=0.05

$$\frac { 4 } { 4 \times 10 ^ { 6 } } ( 65536 - x ) \times 1 = 0.05$$

Solve for x

$$x=15536$$

Steps for Solving Linear Equation

Calculate 10 to the power of 6 and get 1000000.

$$\frac{4}{4\times 1000000}\left(65536-x\right)\times 1=0.05$$

Multiply 4 and 1000000 to get 4000000.

$$\frac{4}{4000000}\left(65536-x\right)\times 1=0.05$$

Reduce the fraction \frac{4}{4000000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{1000000}\left(65536-x\right)\times 1=0.05$$

Multiply \frac{1}{1000000} and 1 to get \frac{1}{1000000}.

$$\frac{1}{1000000}\left(65536-x\right)=0.05$$

Use the distributive property to multiply \frac{1}{1000000} by 65536-x.

$$\frac{1}{1000000}\times 65536+\frac{1}{1000000}\left(-1\right)x=0.05$$

Multiply \frac{1}{1000000} and 65536 to get \frac{65536}{1000000}.

$$\frac{65536}{1000000}+\frac{1}{1000000}\left(-1\right)x=0.05$$

Reduce the fraction \frac{65536}{1000000} to lowest terms by extracting and canceling out 64.

$$\frac{1024}{15625}+\frac{1}{1000000}\left(-1\right)x=0.05$$

Multiply \frac{1}{1000000} and -1 to get -\frac{1}{1000000}.

$$\frac{1024}{15625}-\frac{1}{1000000}x=0.05$$

Subtract \frac{1024}{15625} from both sides.

$$-\frac{1}{1000000}x=0.05-\frac{1024}{15625}$$

Convert decimal number 0.05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{1000000}x=\frac{1}{20}-\frac{1024}{15625}$$

Least common multiple of 20 and 15625 is 62500. Convert \frac{1}{20} and \frac{1024}{15625} to fractions with denominator 62500.

$$-\frac{1}{1000000}x=\frac{3125}{62500}-\frac{4096}{62500}$$

Since \frac{3125}{62500} and \frac{4096}{62500} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{1000000}x=\frac{3125-4096}{62500}$$

Subtract 4096 from 3125 to get -971.

$$-\frac{1}{1000000}x=-\frac{971}{62500}$$

Multiply both sides by -1000000, the reciprocal of -\frac{1}{1000000}.

$$x=-\frac{971}{62500}\left(-1000000\right)$$

Express -\frac{971}{62500}\left(-1000000\right) as a single fraction.

$$x=\frac{-971\left(-1000000\right)}{62500}$$

Multiply -971 and -1000000 to get 971000000.

$$x=\frac{971000000}{62500}$$

Divide 971000000 by 62500 to get 15536.

$$x=15536$$