Х2 - 6х + 40 = (х + 5

X^2 - 6x + 40 = x + 5

Solution for quadratic equation

Subtract 40 from both sides.

x^2 - 6x + 40 - 40 = x + 5 - 40

= x^2 - 6x = x - 35

Subtract x from both sides.

x^2 - 6x - x = x - 35 - x

= x^2 - 7x = -35

Rewrite the equation in the form
(x + a)^2 = b

(x - 7/2)^2 = - 91/4

Answer

x = 7/2 + sqroot 91/2,
x = 7/2 - sqroot 91/2

Solution to simplify

Group like terms

x^2 - 6x + 40 = x + 5
x^2 - 6x - x = 5 - 40
x^2 - 7 = -35