Question

Solve for x:
(x -3)(x +5) = 9

Answer 1

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

let's solve for x :

• 
  `(x - 3)(x + 5) = 9`

• 
  `{x}^(2) + 5x - 3x - 15 = 9`

• 
  `{x}^(2) + 2x - 15 - 9 = 0`

• 
  `{x}^(2) + 2x - 24 = 0`

• 
  `{x}^(2) + 6x - 4x - 24 = 0`

• 
  `x(x + 6) - 4(x + 6) = 0`

• 
  `(x + 6)(x - 4) = 0`

so,

• 
  `x = - 6`

or

• 
  `x = 4`