Solving Quadratics by Factoring

GCF

100

x² - 5x = 0

x = 0 or x = 5

200

x² - (-3x) = 0

x = 0 or x = -3

300

m³ + 8m² = 0

m = 0 or m = -8

400

y² = 7y

y = 0 or y = 7

500

5z² = 35z

z = 0 or z = 7

a equal to 1

100

a² - a - 6 = 0

a = 3 or a = -2

200

n² + 10n = -24

n = -4 or n = -6

300

r² - 5 = -4r

r = -5 or r = 1

400

c² - 100 = 0

c = -10 or c = 10

500

m² + 55 = 16m

m = 5 or m = 11

a not equal to 1

100

3x² + 5x - 12 = 0

x = 4/3 or x = -3

200

4y² - 12y + 9 = 0

y = 3/2

300

10y² - 1 = -3y

y = 1/5 or y = -1/2

400

6g² + 11g = 10

g = -2/3 or g = 5/2

500

15t² + 2 = -31t

t = -1/15 or t = -2

special trinomials

100

x² - 25 = 0

x = -5 or x = 5

200

x² - 256 = 0

x = -16 or x = 16

300

m² + 8m + 16 = 0

m = -4

400

25n² = 9

n = 3/5 or n = -3/5

500

4y² + 12y + 9 = 0

y = -3/2

combo

100

5y² - 5 = 0

y = -1 or y = 1

200

4 = 2x² - 2x

x = -1 or x = 2

300

12m² + 4 = 16m

m = 1/3 or m = 1

400

3r² - 18r + 27 = 0

r = 3

500

20x² + 36x = 8

x = 1/5 or x = -2