Solving Quadratic Equations by Factoring

Not in Standard Form 1

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

Not in Standard Form 2

100

15x² = 8x

x=0 or x=8/15

200

- x² + 10x + 80 = -8 - 4x - 3x²

x= 4 or x=-11

300

(2x - 5)² = 9

x= 1 or x= 4

400

7x² = 28

n=2 or n=-2

500

25x² + 30x = - 8

a=-4/5 or a= -2/5

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

a is not 1

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

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