Solving Quadratic Equations by Factoring

Already Factored

100

(x+3)(x-7)=0

x=-3 or x=7

200

(x+4)(x+18)=0

x=-4 or x=-18

300

(2x-7)(3x+9)=0

x=7/2 or x=-3

400

n(3n+5)=0

n=0 or n=-5/3

500

a(a-5)=0

a=0 or a=5

Leading Coefficient of 1

100

m²+2m-3=0

x=1 or x=-3

200

v²-7v+6=0

v=1 or v=6

300

x²-x-12=0

x=-3 or x=4

400

r²+7r+12=0

r=-4 or r=-3

500

p²-9p+20=0

p=5 or p=4

Slide and Divide

100

3n²-13n+4=0

n=1/3 or n=4

200

3x²-8x+4=0

x=2/3 or x=2

300

10x²+x-3=0

x=1/2 or x=-3/5

400

3a²-19a+20=0

a=4/3 or a=5

500

4v²-1=0

v=-1/2 or v=1/2

Not in Standard Form

100

n²+7n+14=2

n=-4 or n=-3

200

5p²-9p+1=-3

p=4/5 or p=1

300

3x²+5x=2

x=1/3 or x=-2

400

15m²-2=-m

m=-2/5 or m=1/3

500

14n²-7n-5=-n²-1

n=-1/3 or n=4/5

Wildcard

100

r(3r+5)=0

r=-5/3 or r=0

200

3n²+13n+12=0

n=-4/3 or n=-3

300

4v²-23v+13=-2

v=3/4 or v=5

400

3b²=4+11b

b=-1/3 or b=4

500

-x²+2x-19=-4-2x²

x=-5 or x=3