Solve (3)^2x(5)div(2)+(30)

$$( 3 ) ^ { 2 } x ( 5 ) \div ( 2 ) + ( 30 )$$

Evaluate

$$\frac{45x}{2}+30$$

Short Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{9x\times 5}{2}+30$$

Multiply 9 and 5 to get 45.

$$\frac{45x}{2}+30$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 30 times \frac{2}{2}.

$$\frac{45x}{2}+\frac{30\times 2}{2}$$

Since \frac{45x}{2} and \frac{30\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{45x+30\times 2}{2}$$

Do the multiplications in 45x+30\times 2.

$$\frac{45x+60}{2}$$

Factor

$$\frac{15\left(3x+4\right)}{2}$$

Solution Steps

Factor out \frac{15}{2}.

$$\frac{15\left(3x+4\right)}{2}$$