Solve 426=(c/100-c)58/0.2295

$$426 = ( \frac { c } { 100 - c } ) \frac { 58 } { 0.2295 }$$

Solve for c

$$c = \frac{9776700}{155767} = 62\frac{119146}{155767} \approx 62.764898855$$

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.

$$426\left(-c+100\right)=c\times \frac{58}{0.2295}$$

Use the distributive property to multiply 426 by -c+100.

$$-426c+42600=c\times \frac{58}{0.2295}$$

Expand \frac{58}{0.2295} by multiplying both numerator and the denominator by 10000.

$$-426c+42600=c\times \frac{580000}{2295}$$

Reduce the fraction \frac{580000}{2295} to lowest terms by extracting and canceling out 5.

$$-426c+42600=c\times \frac{116000}{459}$$

Subtract c\times \frac{116000}{459} from both sides.

$$-426c+42600-c\times \frac{116000}{459}=0$$

Combine -426c and -c\times \frac{116000}{459} to get -\frac{311534}{459}c.

$$-\frac{311534}{459}c+42600=0$$

Subtract 42600 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{311534}{459}c=-42600$$

Multiply both sides by -\frac{459}{311534}, the reciprocal of -\frac{311534}{459}.

$$c=-42600\left(-\frac{459}{311534}\right)$$

Multiply -42600 and -\frac{459}{311534} to get \frac{9776700}{155767}.

$$c=\frac{9776700}{155767}$$