Solve (-1)*(-3/2)^2-3*(-3/2)+28

$$( - 1 ) \times ( - \frac { 3 } { 2 } ) ^ { 2 } - 3 \times ( - \frac { 3 } { 2 } ) + 28$$

Evaluate

$$\frac{121}{4}=30.25$$

Solution Steps

Calculate -\frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$-\frac{9}{4}-3\left(-\frac{3}{2}\right)+28$$

Express 3\left(-\frac{3}{2}\right) as a single fraction.

$$-\frac{9}{4}-\frac{3\left(-3\right)}{2}+28$$

Multiply 3 and -3 to get -9.

$$-\frac{9}{4}-\frac{-9}{2}+28$$

Fraction \frac{-9}{2} can be rewritten as -\frac{9}{2} by extracting the negative sign.

$$-\frac{9}{4}-\left(-\frac{9}{2}\right)+28$$

The opposite of -\frac{9}{2} is \frac{9}{2}.

$$-\frac{9}{4}+\frac{9}{2}+28$$

Least common multiple of 4 and 2 is 4. Convert -\frac{9}{4} and \frac{9}{2} to fractions with denominator 4.

$$-\frac{9}{4}+\frac{18}{4}+28$$

Since -\frac{9}{4} and \frac{18}{4} have the same denominator, add them by adding their numerators.

$$\frac{-9+18}{4}+28$$

Add -9 and 18 to get 9.

$$\frac{9}{4}+28$$

Convert 28 to fraction \frac{112}{4}.

$$\frac{9}{4}+\frac{112}{4}$$

Since \frac{9}{4} and \frac{112}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+112}{4}$$

Add 9 and 112 to get 121.

$$\frac{121}{4}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {2}} = 30\frac{1}{4} = 30.25$$