How do you solve 49x^2-2940x+24500=0?

49x² - 2940x + 24500 = 0
49(x² - 60x + 500) = 0
x² - 60x + 500 = 0
x² - 50x - 10x + 500 = 0
x(x-50) - 10(x-50) = 0
(x-10)(x-50) = 0
x = {10, 50}

49x^2 - 2940x + 24500 = 0
(49x^2 - 2940x + 24500)/49 = 0/49
x^2 - 60x + 500 = 0
x^2 - 10x - 50x + 500 = 0
(x^2 - 10x) - (50x - 500) = 0
x(x - 10) - 50(x - 10) = 0
(x - 10)(x - 50) = 0

x - 10 = 0
x = 10

x - 50 = 0
x = 50

∴ x = 10 , 50

= 49(x^2 - 60x + 500) = 0

Divide thro by 49:

x^2 - 60x + 500 = 0

(x - 10)(x - 50) = 0

x = 10 or x = 50.