#### Answer

$x=\{0,1.5\}$

#### Work Step by Step

"4 times a number is decreased by 3" is written as $4x-3$.
The equation can be written as:
$(4x-3)^2=9$
Take the square root of each side.
$\sqrt{(4x-3)^2}=\sqrt{9}$
Simplify.
$4x-3=\pm3$
Add 3 to each side.
$4x-3+3=\pm3+3$
Simplify
$4x=3+3$ or $4x=-3+3$
$4x=6$ or $4x=0$
Divide each side by 4.
$4x\div4=6\div4$ or $4x\div4=0\div4$
$x=1.5$ or $x=0$
State as a solution set.
$x=\{0,1.5\}$