Solving Quads by Factoring

Solve by factoring:

x² - 9x + 20 = 0

• x = -4, -5

• x = 20, -9

• x = 4, 5

• x = -4, 5

Solve by factoring:

x² + 3x - 18 = 0

• x = -3, 6

• x = 3, -6

• x = -9, 2

• x = 9, -2

Solve by Factoring:
 $0\ =\ 2x^2\ +\ 4x\ -\ 16$  

• x = -4, 2

• x = -2, 4

• x = -16

• x = -4

Solve.

n² - 2n = 0

• n = 2, 0

• n = -2, 0

• n = 2

• n = 0

Solve by factoring:
 $3x^2+5x\ +\ 2\ =0$  

•  $x\ =\ -\frac{2}{3},\ -1$  

•  $x\ =\ -\frac{3}{2},\ -1$  

•  $x\ =\ \frac{2}{3},\ 1$  

•  $x\ =\ \frac{2}{3},\ -1$  

Solve

16a² - 9 = 0

• $a\ =\ -\frac{3}{4},\ \frac{3}{4}$

• $a\ =\ -\frac{4}{3},\ \frac{4}{3}$

• $a\ =\ \frac{9}{16},\ -\frac{9}{16}$

• $a\ =\ -\frac{16}{9},\ \frac{16}{9}$

Solve by factoring:

5x² + 13x + 6 = 0

• $x\ =\ -2,\ -\frac{3}{5}$

• $x\ =\ 2,\ \frac{3}{5}$

• $x\ =\ -2,\ \frac{3}{5}$

• $x\ =\ 2,\ -\frac{3}{5}$

Factor and solve:

k²+7x+10

• (k+2)(k+5)

  k = -2, -5

• (k-2)(k-5)

  k = 2, 5

• (k+10)(k+4)

  k = -10, -4

• (k+2)(k-5)

  k = -2, 5

Factor and solve:

3x² - 6x - 24

• (3x - 8)(x + 3)
  $x\ =\ -3,\ \frac{8}{3}$

• (3x + 4)(x - 6)
  $x\ =\ -\frac{4}{3},\ 6$
  

• 3(x - 2)(x + 4)
  x = 2, -4

• 3(x + 2)(x - 4)
  x = -2, 4

Factor and solve:

x²-16

• (x+4)²

  x = -4

• (x-4)²

  x = 4

• (x-16)(x+16)

  x = 16, -16

• (x-4)(x+4)

  x = 4, -4