Solve A=[1/2-(1+1/2)^2]*(2-2/3)

$$A = [ \frac { 1 } { 2 } - ( 1 + \frac { 1 } { 2 } ) ^ { 2 } ] \cdot ( 2 - \frac { 2 } { 3 } )$$

Solve for A

$$A = -\frac{7}{3} = -2\frac{1}{3} \approx -2.333333333$$

Steps for Solving Linear Equation

Add 1 and \frac{1}{2} to get \frac{3}{2}.

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

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

$$A=\left(\frac{1}{2}-\frac{9}{4}\right)\left(2-\frac{2}{3}\right)$$

Subtract \frac{9}{4} from \frac{1}{2} to get -\frac{7}{4}.

$$A=-\frac{7}{4}\left(2-\frac{2}{3}\right)$$

Subtract \frac{2}{3} from 2 to get \frac{4}{3}.

$$A=-\frac{7}{4}\times \frac{4}{3}$$

Multiply -\frac{7}{4} and \frac{4}{3} to get -\frac{7}{3}.

$$A=-\frac{7}{3}$$

Assign A

$$A≔-\frac{7}{3}$$