Solve -2(5^2/2)+3(5/2)-5

$$-2( \frac{ { 5 }^{ 2 } }{ 2 } )+3( \frac{ 5 }{ 2 } )-5$$

Evaluate

$$-\frac{45}{2}=-22.5$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$-2\times \frac{25}{2}+3\times \frac{5}{2}-5$$

Multiply -2 times \frac{25}{2}.

$$-25+3\times \frac{5}{2}-5$$

Express 3\times \frac{5}{2} as a single fraction.

$$-25+\frac{3\times 5}{2}-5$$

Multiply 3 and 5 to get 15.

$$-25+\frac{15}{2}-5$$

Convert -25 to fraction -\frac{50}{2}.

$$-\frac{50}{2}+\frac{15}{2}-5$$

Since -\frac{50}{2} and \frac{15}{2} have the same denominator, add them by adding their numerators.

$$\frac{-50+15}{2}-5$$

Add -50 and 15 to get -35.

$$-\frac{35}{2}-5$$

Convert 5 to fraction \frac{10}{2}.

$$-\frac{35}{2}-\frac{10}{2}$$

Since -\frac{35}{2} and \frac{10}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-35-10}{2}$$

Subtract 10 from -35 to get -45.

$$-\frac{45}{2}$$

Factor

$$-\frac{45}{2} = -22\frac{1}{2} = -22.5$$