Respuesta :

Answer:

  • x = {0; 2}

Step-by-step explanation:

Given equation:

  • 4x² - 8x = 0

Simplify and factorize:

  • x² - 2x = 0
  • x(x - 2) = 0
  • x = 0, x - 2 = 0 ⇒ x = 2

Answer:

[tex]x=0, \quad x=2[/tex]

Step-by-step explanation:

Given quadratic equation:

[tex]4x^2-8x=0[/tex]

Factor out the common term 4x:

[tex]\implies 4x(x-2)=0[/tex]

Therefore:

[tex]\begin{aligned}4x & = 0 & \quad \textsf{or } \quad (x-2) & = 0\\\implies x & = 0 & \implies x & = 2\end{aligned}[/tex]

So the solutions to the given quadratic equation are:

[tex]x=0, \quad x=2[/tex]