Solve 284=(C/100-C)582/0.2295

$$284 = ( \frac { C } { 100 - C } ) \frac { 582 } { 0.2295 }$$

Solve for C

$$C = \frac{1086300}{107863} = 10\frac{7670}{107863} \approx 10.071108721$$

Steps for Solving Linear Equation

Variable C cannot be equal to 100 since division by zero is not defined. Multiply both sides of the equation by -C+100.

$$284\left(-C+100\right)=C\times \frac{582}{0.2295}$$

Use the distributive property to multiply 284 by -C+100.

$$-284C+28400=C\times \frac{582}{0.2295}$$

Expand \frac{582}{0.2295} by multiplying both numerator and the denominator by 10000.

$$-284C+28400=C\times \frac{5820000}{2295}$$

Reduce the fraction \frac{5820000}{2295} to lowest terms by extracting and canceling out 15.

$$-284C+28400=C\times \frac{388000}{153}$$

Subtract C\times \frac{388000}{153} from both sides.

$$-284C+28400-C\times \frac{388000}{153}=0$$

Combine -284C and -C\times \frac{388000}{153} to get -\frac{431452}{153}C.

$$-\frac{431452}{153}C+28400=0$$

Subtract 28400 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{431452}{153}C=-28400$$

Multiply both sides by -\frac{153}{431452}, the reciprocal of -\frac{431452}{153}.

$$C=-28400\left(-\frac{153}{431452}\right)$$

Multiply -28400 and -\frac{153}{431452} to get \frac{1086300}{107863}.

$$C=\frac{1086300}{107863}$$