Solve 4/4*10^6(65536-x)*2=0.02

$$\frac { 4 } { 4 \times 10 ^ { 6 } } ( 65536 - x ) \times 2 = 0.02$$

Solve for x

$$x=55536$$

Steps for Solving Linear Equation

Calculate 10 to the power of 6 and get 1000000.

$$\frac{4}{4\times 1000000}\left(65536-x\right)\times 2=0.02$$

Multiply 4 and 1000000 to get 4000000.

$$\frac{4}{4000000}\left(65536-x\right)\times 2=0.02$$

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

$$\frac{1}{1000000}\left(65536-x\right)\times 2=0.02$$

Multiply \frac{1}{1000000} and 2 to get \frac{2}{1000000}.

$$\frac{2}{1000000}\left(65536-x\right)=0.02$$

Reduce the fraction \frac{2}{1000000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{500000}\left(65536-x\right)=0.02$$

Use the distributive property to multiply \frac{1}{500000} by 65536-x.

$$\frac{1}{500000}\times 65536+\frac{1}{500000}\left(-1\right)x=0.02$$

Multiply \frac{1}{500000} and 65536 to get \frac{65536}{500000}.

$$\frac{65536}{500000}+\frac{1}{500000}\left(-1\right)x=0.02$$

Reduce the fraction \frac{65536}{500000} to lowest terms by extracting and canceling out 32.

$$\frac{2048}{15625}+\frac{1}{500000}\left(-1\right)x=0.02$$

Multiply \frac{1}{500000} and -1 to get -\frac{1}{500000}.

$$\frac{2048}{15625}-\frac{1}{500000}x=0.02$$

Subtract \frac{2048}{15625} from both sides.

$$-\frac{1}{500000}x=0.02-\frac{2048}{15625}$$

Convert decimal number 0.02 to fraction \frac{2}{100}. Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{500000}x=\frac{1}{50}-\frac{2048}{15625}$$

Least common multiple of 50 and 15625 is 31250. Convert \frac{1}{50} and \frac{2048}{15625} to fractions with denominator 31250.

$$-\frac{1}{500000}x=\frac{625}{31250}-\frac{4096}{31250}$$

Since \frac{625}{31250} and \frac{4096}{31250} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{500000}x=\frac{625-4096}{31250}$$

Subtract 4096 from 625 to get -3471.

$$-\frac{1}{500000}x=-\frac{3471}{31250}$$

Multiply both sides by -500000, the reciprocal of -\frac{1}{500000}.

$$x=-\frac{3471}{31250}\left(-500000\right)$$

Express -\frac{3471}{31250}\left(-500000\right) as a single fraction.

$$x=\frac{-3471\left(-500000\right)}{31250}$$

Multiply -3471 and -500000 to get 1735500000.

$$x=\frac{1735500000}{31250}$$

Divide 1735500000 by 31250 to get 55536.

$$x=55536$$