Solve 3(3)^3+1/2(3)^2+x

$$3 ( 3 ) ^ { 3 } + \frac { 1 } { 2 } ( 3 ) ^ { 2 } + x$$

Evaluate

$$x = \frac{171}{2} = 85\frac{1}{2} = 85.5$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$3^{4}+\frac{1}{2}\times 3^{2}+x$$

Calculate 3 to the power of 4 and get 81.

$$81+\frac{1}{2}\times 3^{2}+x$$

Calculate 3 to the power of 2 and get 9.

$$81+\frac{1}{2}\times 9+x$$

Multiply \frac{1}{2} and 9 to get \frac{9}{2}.

$$81+\frac{9}{2}+x$$

Convert 81 to fraction \frac{162}{2}.

$$\frac{162}{2}+\frac{9}{2}+x$$

Since \frac{162}{2} and \frac{9}{2} have the same denominator, add them by adding their numerators.

$$\frac{162+9}{2}+x$$

Add 162 and 9 to get 171.

$$\frac{171}{2}+x$$

Factor

$$\frac{2x+171}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{171+2x}{2}$$

Consider 162+9+2x. Multiply and combine like terms.

$$2x+171$$

Rewrite the complete factored expression.

$$\frac{2x+171}{2}$$