Question 633749
it would be good to substitute each of {{{-2/3}}} and {{{1/4}}} for {{{x}}} and see if each factor is equal to zero:

recall that the quadratic equation {{{ax^2+bx+c=0}}} represent the two factors {{{(x + m)(x + n)=0}}}

now, check your options:

F. {{{(3x+2)}}}and {{{(4x-1)}}}..it would be

{{{(3x+2)(4x-1)=0}}}

now, check each factor:

{{{(3x+2)=0}}}......substitute {{{-2/3}}} for {{{x}}}

{{{(3(-2/3)+2)=0}}}

{{{(cross(3)(-2/cross(3))+2)=0}}}

{{{-2+2=0}}}

{{{0=0}}}

check the second factor

{{{(4x-1)=0}}}......now substitute {{{1/4}}} for {{{x}}}

{{{(4(1/4)-1)=0}}}

{{{(cross(4)(1/cross(4))-1)=0}}}

{{{1-1=0}}}

{{{0=0}}}.....as you can see both factors are equal to zero, and this is your solution

so, you can check the other options and you will see they are not solutions