Question

por favor necesito resolver este ´problema paso a paso
8-(x-1)(3-x)=4(x-1)

Answer 1

8-(x-1)(3-x)=4(x-1)

8 - (3x - 3 - $x^{2}$ + x) = 4x - 4

8 - 3x + 3 + $x^{2}$ - x = 4x - 4

11 + 4 - 4x - 3x - x + $x^{2}$ = 0

$x^{2} - 8x + 15 = 0$

x= $\frac{+8+-\sqrt{(-8)^{2}-4(-15) } }{2} = \frac{+8+-\sqrt{144 } }{2} = (8+-12)/2$

x = (8+12)/2 = 10

x = (8-12)/2 = -2