Answer
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.
$x+2=3$
Subtract 2 from each side.
$x+2-2=3-2$
Simplify.
$x=1$
