c) (A, B, C) = (2, 2, -43)
Multiply the given equation by 3:
... 2(x -4)(x +5) = 3
Multiply the binomial terms:
... 2(x^2 -4x +5x -20) = 3
Collect terms and use the distributive property:
... 2x^2 +2x -40 = 3
Subtract 3 to put into general form:
... 2x^2 +2x -43 = 0
The coefficients A, B, C are the coefficients of the general form equation, left to right:
... A = 2; B = 2; C = -43 . . . . matches selection c)