Overall Review 3
Get same base numbers
23(-x+32) = 25x
-3x – 96 = 5x  8x = 96  x = 12
1 − 4(4)(1) = −15 Undefined
We have to multiply out since what is in the yellow box:
(x+6)(x-4)2  (x+6)(x2-8x+16)
x3 – 8x2 + 16x + 6x2 – 48x + 96
x3 – 2x2 – 32x + 96
5x+2 = 4
5x = 2
Factor: x(x2 – 4x – 21)
x(x-7)(x+3)=0
x = -3,0,7
Log(2x+1) – log(x-9) = 1  𝑙𝑜𝑔
2𝑥+1
𝑥−9
=1
2𝑥+1
𝑥−9
= 10
10x-90 = 2x+1
8x = 91
(2x+7) = u
U2 – 10u + 25 = 0
(u-5)(u-5)=0
u=5
2x+7 = 5
2x = -2 x = -1