Solve 66=22/73^2+2*22/73h

$$66 = \frac{ 22 }{ 7 } { 3 }^{ 2 } +2 \times \frac{ 22 }{ 7 } 3h$$

Solve for h

$$h=2$$

Steps for Solving Linear Equation

Calculate 3 to the power of 2 and get 9.

$$66=\frac{22}{7}\times 9+2\times \frac{22}{7}\times 3h$$

Express \frac{22}{7}\times 9 as a single fraction.

$$66=\frac{22\times 9}{7}+2\times \frac{22}{7}\times 3h$$

Multiply 22 and 9 to get 198.

$$66=\frac{198}{7}+2\times \frac{22}{7}\times 3h$$

Express 2\times \frac{22}{7} as a single fraction.

$$66=\frac{198}{7}+\frac{2\times 22}{7}\times 3h$$

Multiply 2 and 22 to get 44.

$$66=\frac{198}{7}+\frac{44}{7}\times 3h$$

Express \frac{44}{7}\times 3 as a single fraction.

$$66=\frac{198}{7}+\frac{44\times 3}{7}h$$

Multiply 44 and 3 to get 132.

$$66=\frac{198}{7}+\frac{132}{7}h$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{198}{7}+\frac{132}{7}h=66$$

Subtract \frac{198}{7} from both sides.

$$\frac{132}{7}h=66-\frac{198}{7}$$

Convert 66 to fraction \frac{462}{7}.

$$\frac{132}{7}h=\frac{462}{7}-\frac{198}{7}$$

Since \frac{462}{7} and \frac{198}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{132}{7}h=\frac{462-198}{7}$$

Subtract 198 from 462 to get 264.

$$\frac{132}{7}h=\frac{264}{7}$$

Multiply both sides by \frac{7}{132}, the reciprocal of \frac{132}{7}.

$$h=\frac{264}{7}\times \frac{7}{132}$$

Multiply \frac{264}{7} times \frac{7}{132} by multiplying numerator times numerator and denominator times denominator.

$$h=\frac{264\times 7}{7\times 132}$$

Cancel out 7 in both numerator and denominator.

$$h=\frac{264}{132}$$

Divide 264 by 132 to get 2.

$$h=2$$