Question

factor and apply the zero product property

6x^2−17x=−12

Answer 1

6x^2 -17x = -12
subtract -12 from both sides
6x^2 - 17x - (-12) = -12 (-12)
6x^2 - 17x + 12 = 0
factor left side of equation
(3x - 4)(2x - 3) = 0
set factors equal to 0
3x - 4 = 0 or 2x - 3 = 0
so you have two possiblities for the answer here...
x = 4/3 or x = 3/2 what do you think is best?