Question

Ayuda porfa
factorizacion x(2x-5)-5=x(x-1) ​

Answer 1

$x(2x - 5) - 5 = x(x - 1) \\ 2 {x}^{2} - 5x - 5 = {x}^{2} - x \\ {2x}^{2} - 5x - 5 - {x}^{2} + x = 0 \\ {x}^{2} - 4x - 5 = 0 \\ {x}^{2} + x - 5x - 5 = 0 \\ x(x + 1) - 5(x + 1) = 0 \\ (x + 1)(x - 5) = 0 \\ x + 1 = 0 \\ x - 5 = 0 \\ \\ \bf \: x = - 1 \\ \bf \: x = 5$