Answer
$x = -5$ and $x = 1$
Work Step by Step
The coefficient of $x$ is $4$.
Adding the square of half the coefficient of $x$ creates a perfect square.
$(4\div2)^2=2^2=4$
$x^2+4x=5$
Add the square of half the coefficient of $x$ to each side of the equation.
$x^2+4x+4=5+4$
Simplify.
$x^2+4x+4=9$
Factor the polynomial.
$(x+2)^2=9$
Take the square root of each side.
$\sqrt{(x+2)^2}=±\sqrt 9$
Simplify.
$x+2= -3$ and $x+2= 3$
Subtract 2 from each side.
$x=-3-2$ and $x=3-2$
Simplify.
$x=-5$ and $x =1$
