Solve (-3/2-(-3/4)+1)^2=m-1

$$( - \frac { 3 } { 2 } - ( - \frac { 3 } { 4 } ) + 1 ) ^ { 2 } = m - 1$$

Solve for m

$$m = \frac{17}{16} = 1\frac{1}{16} = 1.0625$$

Steps for Solving Linear Equation

The opposite of -\frac{3}{4} is \frac{3}{4}.

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

Add -\frac{3}{2} and \frac{3}{4} to get -\frac{3}{4}.

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

Add -\frac{3}{4} and 1 to get \frac{1}{4}.

$$\left(\frac{1}{4}\right)^{2}=m-1$$

Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\frac{1}{16}=m-1$$

Swap sides so that all variable terms are on the left hand side.

$$m-1=\frac{1}{16}$$

Add 1 to both sides.

$$m=\frac{1}{16}+1$$

Add \frac{1}{16} and 1 to get \frac{17}{16}.

$$m=\frac{17}{16}$$