Question

Given the following equation x2 + 12x = x - 24 find the solutions.

(Show All Work)

16a) Set the equation equal to 0 by inverse operations.



16b) Place the equation in factored form.



16c) Set each factor equal to 0 and solve for x.

Answer 1

OK , so I'll follow all your instructions:

x² + 12x - x + 24 = 0

x² + 11x + 24 = 0.......product = 24, sum= 11 & factors = 3 & 8

(x² + 3x ) (+ 8x + 24) =0

x ( x + 3) + 8 ( x + 3)=0

( x + 3 ) ( x + 8)=0

x +3 = 0 or x + 8= 0

x = -3. or x = -8