#### Answer

x=6

#### Work Step by Step

The coefficient of x is -10.
Adding the square of half the coefficient of x creates a perfect square.
$(-10\div2)^2=(-5)^2=25$
$x^2-10x=-24$
Add the square of half the coefficient of x to each side of the equation.
$x^2-10x+25=-24+25$
Simplify.
$x^2-10x+25=1$
Factor the polynomial.
$(x-5)^2=1$
Take the square root of each side.
$\sqrt{(x-5)^2}=\sqrt 1$
Simplify.
$x-5=1$
Add 5 to each side.
$x-5+5=1+5$
Simplify.
$x=6$