Answer
-2/3, 7
Work Step by Step
The factors on the left side of the equation can only be equated to zero if the right side of the equation is zero.
The correct solution is:
3x^2-19x=14
3x^2-19x-14=0
Using ac method, find two numbers whose products are -42 and their sums are -19. The two numbers are -21 and 2.
3x^2-21x+2x-14=0
3x(x-7)+2(x-7)=0
(3x+2)(x-7)=0
Equate each factor to zero then solve each equation to have:
3x+2=0 or x−7=0
x=-2/3 or x=7
