Solve bs=5/1+18+6s+69+98

$$b s = \frac { 5 } { 1 + 18 + 6 s + 69 + 98 }$$

Solve for b

$$b=\frac{5}{6s\left(s+31\right)}$$

$$s\neq -31\text{ and }s\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6\left(s+31\right).

$$bs\times 6\left(s+31\right)=5$$

Use the distributive property to multiply bs\times 6 by s+31.

$$6bs^{2}+31bs\times 6=5$$

Multiply 31 and 6 to get 186.

$$6bs^{2}+186bs=5$$

Combine all terms containing b.

$$\left(6s^{2}+186s\right)b=5$$

Divide both sides by 6s^{2}+186s.

$$\frac{\left(6s^{2}+186s\right)b}{6s^{2}+186s}=\frac{5}{6s^{2}+186s}$$

Dividing by 6s^{2}+186s undoes the multiplication by 6s^{2}+186s.

$$b=\frac{5}{6s^{2}+186s}$$

Divide 5 by 6s^{2}+186s.

$$b=\frac{5}{6s\left(s+31\right)}$$

Solve for s (complex solution)

$$s=\frac{\sqrt{8649b^{2}+30b}}{6b}-\frac{31}{2}$$

$$s=-\frac{\sqrt{8649b^{2}+30b}}{6b}-\frac{31}{2}\text{, }b\neq 0$$

Solve for s

$$s=\frac{\sqrt{8649b^{2}+30b}}{6b}-\frac{31}{2}$$

$$s=-\frac{\sqrt{8649b^{2}+30b}}{6b}-\frac{31}{2}\text{, }b>0\text{ or }b\leq -\frac{10}{2883}$$