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

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

Solve for y

$$y = \frac{13}{4} = 3\frac{1}{4} = 3.25$$

Steps for Solving Linear Equation

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

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

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

$$y=-\frac{9}{4}-3\times \frac{-3}{2}+1$$

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

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

Multiply 3 and -\frac{3}{2} to get -\frac{9}{2}.

$$y=-\frac{9}{4}-\left(-\frac{9}{2}\right)+1$$

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

$$y=-\frac{9}{4}+\frac{9}{2}+1$$

Add -\frac{9}{4} and \frac{9}{2} to get \frac{9}{4}.

$$y=\frac{9}{4}+1$$

Add \frac{9}{4} and 1 to get \frac{13}{4}.

$$y=\frac{13}{4}$$

Assign y

$$y≔\frac{13}{4}$$