Solve for x.........................

Answer:
C
Step-by-step explanation:
To solve this equation we need to first get the standard form of a quadratic equation by bringing every term to one side of the equal to .
so
[tex]4x^{2} +2x^{2} -3x+2x-16+4=0[/tex]
combining the like terms in the equation we get
[tex]6x^{2} -x-12=0[/tex]
you can use the factoring to simplify it
so the given equation can be written as
[tex]6x^{2} -9x+8x-12=0[/tex]
using the grouping to factor we get
3x(2x-3) +4(2x-3)=0
(3x+4)(2x-3)=0
using the zero root property now
3x+4=0
2x-3 =0
so that gives us two values
[tex]x=\frac{-4}{3}[/tex]
and
[tex]x=\frac{3}{2}[/tex]
option : C