Question

x(x-2)=2(x+6)= resultado

Answer 1

$x(x-2)=2(x+6)\\x^2-2x=2x+12\\x^2-2x-2x-12=0\\x^2-4x-12=0$

Coeficientes: a = 1, b = -4 e c = -12

$\Delta=b^2-4ac\\\Delta=(-4)^2-4\cdot1\cdot(-12)\\\Delta=16+48\\\Delta=64$

$x=\frac{-b\pm\sqrt{\Delta}}{2a}\\\\x=\frac{-(-4)\pm\sqrt{64}}{2\cdot1}\\\\x=\frac{4\pm8}{2}\\\\x_1=\frac{4+8}{2}=\frac{12}{2}=6\\\\x_2=\frac{4-8}{2}=\frac{-4}{2}=-2$



Espero ter ajudado.
Bons estudos! :)