Answer:
Step-by-step explanation:
Given equation:
Simplify and factorize:
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]