Solve Quadratics by Factoring

GCF

100

x² - 7x = 0

x = 0, x = 7

200

2x² + 6x = 0

x=0, x=-3

300

x² - x = 0

x = 0 , x = 1

400

x² - 2x = 0

x = 0, x = 2

500

18x² = 24x

x = 0, x = 4/3

Difference of Two squares

100

x² - 16 = 0

x = 4, x = -4

200

x² - 9 = 0

x = 3, x = -3

300

3x² - 12 = 0

x = 2, x = -2

400

3x² - 48 = 0

x = 4, x = -4

500

81x² = 25

x = 5/9, x = -5/9

Trinomials (a=1)

100

x² + 4x -32 = 0

x = 4, x = -8

200

x²  - 14x -51= 0

x = -3, x = 17

300

3x² + 9x -30 = 0

x = 2, x = -5

400

5x² -25x = 5x - 40

x = 2, x = 4

500

x² +7x -17 = 12x - 3

x = 7, x = -2

Trinomials (a>1)

100

6x² - x - 2 = 0

x = -1/2, x = 2/3

200

3x² -10x + 3 = 0

x = 1/3, x = 3

300

2x² - x = 15

x = -5/2, x = 3

400

3x² - 8x +4 = 0

x = 2/3, x = 2

500

2x² - 8 = 31x -2x²

x = -1/4, x = 8

Perfect Square Trinomials

100

x² + 12x +36 = 0

x = -6

200

x² - 10x +25 = 0

x = 5

300

x² = 18x -81 

x = 9

400

4x² +4x +1 = 0

x = -1/2

500

9x² + 30x +25 = 0

x = -5/3