Solve 7200b+24000+100h^2/8400=90

$$\frac { 7200 b + 24000 + 100 h ^ { 2 } } { 8400 } = 90$$

Solve for b

$$b=-\frac{h^{2}}{72}+\frac{305}{3}$$

Steps for Solving Linear Equation

Multiply both sides by 8400.

$$7200b+24000+100h^{2}=90\times 8400$$

Multiply 90 and 8400 to get 756000.

$$7200b+24000+100h^{2}=756000$$

Subtract 24000 from both sides.

$$7200b+100h^{2}=756000-24000$$

Subtract 24000 from 756000 to get 732000.

$$7200b+100h^{2}=732000$$

Subtract 100h^{2} from both sides.

$$7200b=732000-100h^{2}$$

Divide both sides by 7200.

$$\frac{7200b}{7200}=\frac{732000-100h^{2}}{7200}$$

Dividing by 7200 undoes the multiplication by 7200.

$$b=\frac{732000-100h^{2}}{7200}$$

Divide 732000-100h^{2} by 7200.

$$b=-\frac{h^{2}}{72}+\frac{305}{3}$$

Solve for h (complex solution)

$$h=-2\sqrt{1830-18b}$$

$$h=2\sqrt{1830-18b}$$

Solve for h

$$h=2\sqrt{1830-18b}$$

$$h=-2\sqrt{1830-18b}\text{, }b\leq \frac{305}{3}$$