Solve 40D^3-600D^2+13384*bD+40000=0

$$40 D ^ { 3 } - 600 D ^ { 2 } + 13384 \cdot b D + 40000 = 0$$

Solve for b

$$b=-\frac{5D^{2}}{1673}+\frac{75D}{1673}-\frac{5000}{1673D}$$

$$D\neq 0$$

Steps for Solving Linear Equation

Subtract 40D^{3} from both sides. Anything subtracted from zero gives its negation.

$$-600D^{2}+13384bD+40000=-40D^{3}$$

Add 600D^{2} to both sides.

$$13384bD+40000=-40D^{3}+600D^{2}$$

Subtract 40000 from both sides.

$$13384bD=-40D^{3}+600D^{2}-40000$$

The equation is in standard form.

$$13384Db=-40D^{3}+600D^{2}-40000$$

Divide both sides by 13384D.

$$\frac{13384Db}{13384D}=\frac{-40D^{3}+600D^{2}-40000}{13384D}$$

Dividing by 13384D undoes the multiplication by 13384D.

$$b=\frac{-40D^{3}+600D^{2}-40000}{13384D}$$

Divide -40D^{3}+600D^{2}-40000 by 13384D.

$$b=-\frac{5D^{2}}{1673}+\frac{75D}{1673}-\frac{5000}{1673D}$$