Solve 17-1/2+6/b=0

$$17 - \frac { 1 } { 2 } + \frac { 6 } { b } = 0$$

Solve for b

$$b=-\frac{4}{11}\approx -0.363636364$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2b, the least common multiple of 2,b.

$$2b\times 17+2b\left(-\frac{1}{2}\right)+2\times 6=0$$

Multiply 2 and 17 to get 34.

$$34b+2b\left(-\frac{1}{2}\right)+2\times 6=0$$

Cancel out 2 and 2.

$$34b-b+2\times 6=0$$

Combine 34b and -b to get 33b.

$$33b+2\times 6=0$$

Multiply 2 and 6 to get 12.

$$33b+12=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$33b=-12$$

Divide both sides by 33.

$$b=\frac{-12}{33}$$

Reduce the fraction \frac{-12}{33} to lowest terms by extracting and canceling out 3.

$$b=-\frac{4}{11}$$