Respuesta :

Answer:

[tex]a=3,b=7,c=-20[/tex]

Step-by-step explanation:

we are given equation as

[tex]3x^2=20-7x[/tex]

Firstly, we will move all terms on left side

Subtract both sides by 20

[tex]3x^2-20=20-7x-20[/tex]

[tex]3x^2-20=-7x[/tex]

Add both sides by 7x

[tex]3x^2-20+7x=-7x+7x[/tex]

[tex]3x^2-20+7x=0[/tex]

[tex]3x^2+7x-20=0[/tex]

now, we can compare it with quadratic equation

[tex]ax^2+bx+c=0[/tex]

and we get

[tex]a=3,b=7,c=-20[/tex]