Solve 2{left(1/2right)}^2+3(-1/2)+1

$$2 { \left( \frac{ 1 }{ 2 } \right) }^{ 2 } +3(- \frac{ 1 }{ 2 } )+1$$

Evaluate

$$0$$

Solution Steps

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$2\times \frac{1}{4}+3\left(-\frac{1}{2}\right)+1$$

Multiply 2 and \frac{1}{4} to get \frac{2}{4}.

$$\frac{2}{4}+3\left(-\frac{1}{2}\right)+1$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}+3\left(-\frac{1}{2}\right)+1$$

Express 3\left(-\frac{1}{2}\right) as a single fraction.

$$\frac{1}{2}+\frac{3\left(-1\right)}{2}+1$$

Multiply 3 and -1 to get -3.

$$\frac{1}{2}+\frac{-3}{2}+1$$

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$\frac{1}{2}-\frac{3}{2}+1$$

Since \frac{1}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-3}{2}+1$$

Subtract 3 from 1 to get -2.

$$\frac{-2}{2}+1$$

Divide -2 by 2 to get -1.

$$-1+1$$

Add -1 and 1 to get 0.

$$0$$

Factor

$$0$$