Question

resuelve (x+6)(x+3)=(c+5)(x+4)​

Answer 1

Rᴇsᴘᴜᴇsᴛᴀ

$\tt c = - \frac{ - 4x + 2 - {x}^{2} }{x + 4} .x = - 4$

Answer 2

$(x + 6)(x + 3) = (c + 5)(x + 4)\\ {x}^{2} + 3x + 6x + 18 = xc + 4c + 5x + 20 \\ {x}^{2} + 9x + 18 = xc + 4c + 5x + 20 \\ - xc - 4c = 5x + 20 - {x}^{2} - 9x - 18 \\ ( - x - 4)c = 5x + 20 - {x}^{2} - 9x - 18 \\ c = \frac{5x + 20 - {x}^{2} - 9x - 18 }{ - x - 4} - x - 4 = 0 \\ c = \frac{ - 4x + 2 - {x}^{2} }{ - (x + 4)} \\ x = - 4 \\ - - - - - - - - - - - - - - - \\ \bf c = - \frac{ - 4x + 2 - {x}^{2} }{x + 4} \\ \bf \: x = - 4$