Question

(x+1)(2x+5)-5=(x-4)(2x+3)​

Answer 1

RESOLVER:

$\left(x+1\right)\left(2x+5\right)-5=\left(x-4\right)\left(2x+3\right)$

Desarrollamos los paréntesis 1 que son  $\left(x+1\right)\left(2x+5\right)-5$

$\left(x+1\right)\left(2x+5\right)-5$

Expandimos $\left(x+1\right)\left(2x+5\right):2x^{2} +7x+5$

$=2x^2+7x+5-5$

$5-5=0$

$=2x^2+7x$

Ahora desarrollamos los paréntesis 2 que son $\left(x-4\right)\left(2x+3\right)$

$\left(x-4\right)\left(2x+3\right)$

$=x\cdot \:2x+x\cdot \:3+\left(-4\right)\cdot \:2x+\left(-4\right)\cdot \:3$

$=2x^2-5x-12$

Restamos 2x²-5x de ambos lados

$2x^2+7x-\left(2x^2-5x\right)=2x^2-5x-12-\left(2x^2-5x\right)$

Simplificamos

$12x=-12$

$\frac{12x}{12}=\frac{-12}{12}$

$\boxed{x=-1}$

$BUENA\:\:SUERTE$