Question

(x+3)(x+2)=(x-2)(x+1)

Answer 1

Respuesta:

(x+3)(x+2) = (x-2)(x+1)

x(x+2)+3(x+2) = x(x+1)-2(x+1)

x²+2x+3x+6 = x²+x-2x-2

x²+(2+3)x+6 = x²+(1-2)x-2

x²+5x+6 = x²+(-x)-2

x²+5x+6 = x²-x-2

x²+5x+6-x² = x²-x-2-x²

5x+6 = -x-2

5x+6+x = -x-2+x

6x+6 = -2

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

3x+3 = -1

3x+3-3 = -1-3

3x = -4

3x/3 = -4/3

x = -4/3

Verificación :

((-4/3)+3)((-4/3)+2) = ((-4/3)-2)((-4/3)+1)

(5/3)(2/3) = (-10/3)(-1/3)

(5(2)/3) = ((-10(-1))/3)

10/3 = (-(-10)/3)

10/3 = 10/3

R// X vale -4/3.

Explicación paso a paso: