Answer
$x = +4$ or $x =+8$
Work Step by Step
$x^2 + 32 = 12x$
Step 1:
is not needed because there is no fractions.
$x^2 + 32 = 12x$
Step 2:
is not needed.
$x^2 + 32 = 12x$
Step 3:
is not needed since no simplifying can be done on either side of the equation.
$x^2 + 32 = 12x$
Step 4:
The equation is quadratic.
$x^2 + 32 = 12x$
Step 5: Rewrite the equation in standard form.
$x^2 -12x+ 32 = 0$
Step 6: Factor.
$(x -4)(x -8) = 0$
Step 7: Set each factor equal to 0.
$x -4 = 0$ or $x -8 = 0$
Solve each equation.
$x = +4$ or $x =+8$