Question #598d5

1 Answer
Oct 11, 2017

#x=3/4# OR #x=-2/3#

Explanation:

You can factor this trinomial by multiplying #12# and #-6# together to get #-72#. Now you have to think of two numbers that multiply to #-72# and add up to #-1# (because #b=-1#).

These two numbers are #-9 and 8#, so:

#12x^2-1x-6=0# can be rewritten as:

#12x^2+8x-9x-6=0#

Factor by parts to get:

#4x(3x+2)-3(3x+2)=0#

#(4x-3)(3x+2)=0#

The Zero Product Property says if we can set each factor equal to #0#:

#4x-3=0->4x=3->x=3/4#
OR
#3x+2=0->3x=-2->x=-2/3#