Solve 4/4*10^6(65536-x)*8=1

$$\frac { 4 } { 4 \times 10 ^ { 6 } } ( 65536 - x ) \times 8 = 1$$

Solve for x

$$x=-59464$$

Steps for Solving Linear Equation

Calculate 10 to the power of 6 and get 1000000.

$$\frac{4}{4\times 1000000}\left(65536-x\right)\times 8=1$$

Multiply 4 and 1000000 to get 4000000.

$$\frac{4}{4000000}\left(65536-x\right)\times 8=1$$

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

$$\frac{1}{1000000}\left(65536-x\right)\times 8=1$$

Multiply \frac{1}{1000000} and 8 to get \frac{8}{1000000}.

$$\frac{8}{1000000}\left(65536-x\right)=1$$

Reduce the fraction \frac{8}{1000000} to lowest terms by extracting and canceling out 8.

$$\frac{1}{125000}\left(65536-x\right)=1$$

Use the distributive property to multiply \frac{1}{125000} by 65536-x.

$$\frac{1}{125000}\times 65536+\frac{1}{125000}\left(-1\right)x=1$$

Multiply \frac{1}{125000} and 65536 to get \frac{65536}{125000}.

$$\frac{65536}{125000}+\frac{1}{125000}\left(-1\right)x=1$$

Reduce the fraction \frac{65536}{125000} to lowest terms by extracting and canceling out 8.

$$\frac{8192}{15625}+\frac{1}{125000}\left(-1\right)x=1$$

Multiply \frac{1}{125000} and -1 to get -\frac{1}{125000}.

$$\frac{8192}{15625}-\frac{1}{125000}x=1$$

Subtract \frac{8192}{15625} from both sides.

$$-\frac{1}{125000}x=1-\frac{8192}{15625}$$

Convert 1 to fraction \frac{15625}{15625}.

$$-\frac{1}{125000}x=\frac{15625}{15625}-\frac{8192}{15625}$$

Since \frac{15625}{15625} and \frac{8192}{15625} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{125000}x=\frac{15625-8192}{15625}$$

Subtract 8192 from 15625 to get 7433.

$$-\frac{1}{125000}x=\frac{7433}{15625}$$

Multiply both sides by -125000, the reciprocal of -\frac{1}{125000}.

$$x=\frac{7433}{15625}\left(-125000\right)$$

Express \frac{7433}{15625}\left(-125000\right) as a single fraction.

$$x=\frac{7433\left(-125000\right)}{15625}$$

Multiply 7433 and -125000 to get -929125000.

$$x=\frac{-929125000}{15625}$$

Divide -929125000 by 15625 to get -59464.

$$x=-59464$$