Solve the following equations as indicated. Check your solutions if possible.

1. Solve for $x:0=|3x-3|$ 

   Answer (a)

   $x = 1$

2. Solve for $x:x^2−3(2x+3)=x^2−3$ 

   Hint (b):

   Subtract $x^{2}$ from both sides of the equation. Be careful to distribute a $−3$ over the quantity in parentheses.

3. Solve for $p:0=(p−3)^2−p^2$ 

   Hint (c):

   $\left(p − 3\right)^{2} = \left(p − 3\right)\left(p − 3\right)$

4. Solve for $w:u=\frac{v+2}{w}$ 

   Hint (d):

   Multiply both sides of the equation by w then divide both sides by $u$.