Question

6x2 - 13x - 28

Answer 1

6x^2-13x-28
^ ^
3 and 2 7 and 4

(2x-7)(3x+4)

Answer 2

FOR SOLVIN:
Divide both sides by 6:
x^2-(13 x)/6-14/3 = 0
Add 14/3 to both sides:
x^2-(13 x)/6 = 14/3
Add 169/144 to both sides:
x^2-(13 x)/6+169/144 = 841/144
Factor the left hand side:
(x-13/12)^2 = 841/144
Take the square root of both sides:
abs(x-13/12) = 29/12
Eliminate the absolute value:
x-13/12 = -29/12 or x-13/12 = 29/12
Add 13/12 to both sides:
x = -4/3 or x-13/12 = 29/12
Add 13/12 to both sides:
x = -4/3 or x = 7/2
FOR SIMPLIFYING :
(2 x-7) (3 x+4)