(x − 7)(7x − 10) /−10x = 1

Answer 1

(x - 7)(7x - 10) / (-10x) = 1

(X – 7)(7x – 10) = -10x

7x^2-10x-49x+70 = -10x

7x^2 -59X + 70 = -10x

7x^2 – 49x +70 = 0

(7x – 35)(x – 2) = 0

7x – 35 = 0         x – 2 = 0

7x = 35               x = 2

X = 5

Solutions x =2 or x = 5

Check

X = 5        (5 – 7)(35 – 10)/(-50) = -2(25)/(- 50)

                                                       = -50/-50 = 1

X = 2      (2 – 7)(14 – 10)/-20 = -5(4)/-20 = -20/-20 = 1

Answer 2

(x - 7)(7x - 10) / (-10x) = 1

Multiply both sides by -10x and get

(x - 7)(7x - 10) = -10x

Expand the left hand side, and get a quadratic expression in x. Then add 10x to both sides. You will end up with a quadratic equation in x, which you can solve using the quadratic formula.