(x+3)(x+2)=0
x=−3x = -3x=−3 or x=−2x = -2x=−2
(x+3)(x+2)=0
x=−3x = -3x=−3 or x=−2x = -2x=−2
½
0.5
Factors of 2
1, 2
x2−4=0
x2=4⇒x=±2
(2x−1)(x+4)=0
x=12x = \frac{1}{2}x=21 or x=−4x = -4x=−4
(2x−1)(x+4)=0
x=21 or x=−4x = -4x=−4
¾
0.75
Factors of 6
1, 2, 3, 6
x2+5x+6=0
x=−2,−3
x2+5x+6=0
x=−2x = -2x=−2 or x=−3x = -3x=−3
x2+5x+6=0
x=−2x = -2x=−2 or x=−3x = -3x=−3
5/8
0.625
Factors of 12
1, 2, 3, 4, 6, 12
2x2−3x−2=0
x=43±5⇒x=2,−0.5
3x2−2x−8=0
x=2x = 2x=2 or x=−43x = -\frac{4}{3}x=−34
3x2−2x−8=0
x=2 or x=−43x = -\frac{4}{3}x=−34
7/12
0.5833..
Factors of 30
1, 2, 3, 5, 6, 10, 15, 30
3x2+4x+1=0
x=−31,−1
2x2+7x+3=0
x=−12x = -\frac{1}{2}x=−21 or x=−3x = -3x=−3
2x2+7x+3=0
x=−12x = -\frac{1}{2}x=−21 or x=−3x = -3x=−3
23/47
0.4893617
Factors of 84
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
5x2−6x+7=0
x=106±226i=53±26i