A zero, or a solution of the quadratic function is c) x = 6 1/3
Write -54x as a difference
9x^2 + 3x - 57x - 19
Factor 3x out
{ 9x^2 + 3x } - 57x - 19
3x (3x + 1)
Factor -19 out
3x (3x + 1) -19 (3x + 1)
Group the equations
( 3x - 19 ) ( 3x + 1 )
Solve for the zeroes
(3x+1) = 0
-1 -1
3x = -1
3x / 3 = x
-1 / 3 = -1/3
x = - 1/3
(3x - 19) = 0
+19 +19
3x = 19
3x / 3 = x
19 / 3 = 6 1/3
x = 6 1/3