Respuesta :

hxagon

x = -4 or x = 2.5

Step-by-step explanation:

2x^2 + 3x - 20 = 0

(x + 4) (2x - 5) = 0

either x + 4 = 0 or 2x - 5 = 0

x = -4 or x = 2.5

After factorizing the equation, we get "x = 4 and x = -5".

Given:

  • [tex]2x^2+3x-20=0[/tex]

By applying the factorization, we get

→   [tex]2x^2+5x-8x-20=0[/tex]

By taking common, we get

→ [tex]2x(x+5)-8(x+5)=0[/tex]

→         [tex](2x-8) (x+5)=0[/tex]

→                       [tex]2x-8=0[/tex]

                                [tex]x = \frac{8}{2}[/tex]

                                [tex]x = 4[/tex]

or,

→                        [tex]x +5=0[/tex]

                               [tex]x =-5[/tex]

Thus the above approach is right.

Learn more:

https://brainly.com/question/19728661