Question

(x+1) (x+2) -x (x+5) = 6

Answer 1

Respuesta:

x =  -2

Explicación paso a paso:

!!hola¡¡

$\left(x+1\right)\left(x+2\right)-x\left(x+5\right)=6\\\\\mathrm{Desarrollar\:}\left(x+1\right)\left(x+2\right)-x\left(x+5\right):\quad -2x+2\\\\\left(x+1\right)\left(x+2\right)-x\left(x+5\right)\\\\\mathrm{Expandir}\:\left(x+1\right)\left(x+2\right):\quad x^2+3x+2\\\\=x^2+3x+2-x\left(x+5\right)\\\\\mathrm{Expandir}\:-x\left(x+5\right):\quad -x^2-5x\\\\=x^2+3x+2-x^2-5x\\\\\mathrm{Simplificar}\:x^2+3x+2-x^2-5x:\quad -2x+\\\\=-2x+2\\\\-2x+2=6$

$\mathrm{Restar\:}2\mathrm{\:de\:ambos\:lados}\\\\-2x+2-2=6-2\\\\Simplificar\\\\-2x=4\\\\\mathrm{Dividir\:ambos\:lados\:entre\:}-2\\\\\frac{-2x}{-2}=\frac{4}{-2}\\\\\mathrm{Simplificar}\\\\x=-2$