4.5 Solve Quadratic Equations by Factoring

Solve by factoring:

 $x^2-11x+19=-5$  

•  $x=4,6$  
  

•  $x=-8,\ -3$  
  

•  $x=3,8$  

•  $x=-12,-2$  
  

Tags

CCSS.HSA.REI.B.4

Solve by factoring:

 $-6c^2+19c+7=0$  

•  $c=-\ \frac{1}{3},\ \frac{7}{2}$  
  

•  $c=\ \frac{1}{3},\ -\frac{7}{2}$  
  

•  $c=-\ 3,\ \frac{2}{7}$  
  

•  $c\ =\ -\ \frac{2}{7},\ 3$  
  

Tags

CCSS.HSA.REI.B.4

Solve by factoring:

 $6v^2-18v-18=6$  

•  $c=-2,\ 2$  
  

•  $c=\ -4,\ 1$  
  

•  $c=24,\ -1$  
  

•  $c\ =\ -\ 1,\ 4$  
  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Solve by factoring:

 $7r^2-14r=-7$  

•  $r=-1,\ 1$  
  

•  $r=\ -7,\ 1$  
  

•  $r\ =-1$  
  

•  $r\ =\ 1$  
  

Tags

CCSS.HSA.REI.B.4

Solve by factoring:

 $28y^2-63=0$  

•  $y=-\ \frac{2}{3},\ \frac{2}{3}$  
  

•  $y=-\ \frac{3}{2},\ \frac{3}{2}$  
  

•  $y\ =\ -4,\ 9$  
  

•  $y\ =\ -4,\ -9$  
  

Tags

CCSS.HSA.REI.B.4

Solve by factoring:

 $n^2+7n+15\ =\ 5$  

•  $n\ =\ -5,\ -2$  
  

•  $n\ =\ 2,\ 5$  
  

•  $n\ =\ 1,\ 10$  
  

•  $n\ =\ -10,\ -1$  
  

Tags

CCSS.HSA.REI.B.4

Solve by factoring:

 $h^2+5h-35\ =\ 3h$  

•  $h=\ -5,\ 7$  
  

•  $h=\ 2,\ 35$  
  

•  $h=-7,\ 5$  
  

•  $h=\ -2,\ 35$  
  

Tags

CCSS.HSA.REI.B.4

Solve by factoring:

 $15t^2-3t\ =\ 3-7t$  

•  $t=\ -\frac{3}{5},\ \frac{1}{3}$  
  

•  $t=-3,\ \frac{5}{3}$  
  

•  $t=-\frac{1}{3},\ \frac{3}{5}$  
  

•  $t=-\frac{5}{3},\ 3$  
  

Tags

CCSS.HSA.REI.B.4

Solve by factoring:

 $8x^2+21=-59x$  

•  $x=\frac{3}{8},\ 7$  
  

•  $x=\frac{1}{7},\ \frac{8}{3}$  
  

•  $x=-\frac{8}{3},\ -\frac{1}{7}$  
  

•  $x=-7,\ -\frac{3}{8}$  
  

Tags

CCSS.HSA.REI.B.4

Solve by factoring:

 $40k^2-22k+7=5k^2+4$  

•  $k=-\frac{1}{5},\ -\frac{3}{7}$  
  

•  $k=\frac{1}{5},\ \frac{3}{7}$  
  

•  $k=\frac{7}{3},\ 5$  
  

•  $k=-\frac{7}{3},\ -5$  
  

Tags

CCSS.HSA.REI.B.4