Solve 170,000=8000p/100-p

$$170,000 = \frac { 8000 p } { 100 - p }$$

Solve for p

$$p = \frac{8500}{89} = 95\frac{45}{89} \approx 95.505617978$$

Steps for Solving Linear Equation

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

$$170000\left(-p+100\right)=8000p$$

Use the distributive property to multiply 170000 by -p+100.

$$-170000p+17000000=8000p$$

Subtract 8000p from both sides.

$$-170000p+17000000-8000p=0$$

Combine -170000p and -8000p to get -178000p.

$$-178000p+17000000=0$$

Subtract 17000000 from both sides. Anything subtracted from zero gives its negation.

$$-178000p=-17000000$$

Divide both sides by -178000.

$$p=\frac{-17000000}{-178000}$$

Reduce the fraction \frac{-17000000}{-178000} to lowest terms by extracting and canceling out -2000.

$$p=\frac{8500}{89}$$