Respuesta :

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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

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