Solve this? #12x^2 - 7x - 12=0#

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Answer 1 · 2018-04-30T04:01:23

#x = -3/4# and #x=4/3#

We begin by factoring the trinomial #12x^2-7x-12=0#

The factors of the 12 are 4 and 3.

#4*-4 =-16#
#3*3=9#
#-16+9=7#

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

Now set both binomial factors equal to zero and solve.

#4x+3=0#
#4x=-3#
#x=-3/4#

#3x-4=0#
#3x=4#
#x=4/3#