Question

Resolver la siguiente ecuación: (x + 3) (x + 5) = 6x + 15​

Answer 1

Respuesta:

$x=0,x=-2$

Explicación:

$(x + 3) (x + 5) = 6x + 15$

$x^{2} +8x+15=6x+15$

$x^{2} +8x+15-15=6x+15-15$

$x^{2} +8x=6x$

$x^{2} +8x-6x=6x-6x$

$x^{2} +2x=0$

$x_{1,2} =\frac{-2±\sqrt{2^{2} -4*1*0}}{2*1}$

$x_{1,2} =\frac{-2±2}{2*1}$

$x_{1} =\frac{-2+2}{2*1} , x_{2} =\frac{-2-2}{2*1}$

$x_{1} =\frac{0}{2}$

$x_{1} =0$

$x_{2} =\frac{-4}{2}$

$x_{2} =-2$

$x=0,x=-2$