What is x2-4x=2x+24 equal to 0

Make equal to zero

x^2-4x=2x+24

minus 2x both sides

x^2-4x-2x=24

minus 24

x^2-6x-24=0

comlpete the square

isolate x^2 and x term

(x^2-6x) - 24=0

take 1/2 of - 6 and square it (-6/2=-3 (-3) ^2=9) and add to both sides inside parethaes

(x^2-6x+9) - 24=9

factor perfect square

(x-3) ^2-24=9

add 24 both sides

(x-3) ^2=33

sqrt both sides

x-3=+/-√33

add 3 to both sides

x=3+/-√33

x=3+√33 or 3-√33