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Solving by Factoring (a=1)
Solving by Factoring (a>1)
Square Root Property + 1 Step
Square Root Property - Multi-Step
Multi-Step Factoring
100

What is the factored form of this equation?

x^2+6x+8=0

(x+4)(x+2)=0

100

What is the factored form of this equation?

5a^2+14a-3=0

(a+3)(5a-1)=0

100

Solve using the square root property.

x^2=121

x=11,-11

100

Solve using the square root property.

6t^2+60=126

x=sqrt11,-sqrt11

100

Solve the equation by factoring.
Note: Notice the highest exponent is 4. That tells you there's a max of 4 solutions.

x^4+6x^3-16x^2=0

x=0,2,-8

200

Solve the equation by factoring.

x^2-14x+24=0

x=2,12

200

What is the factored form of the equation?

4t^2+20t-24=0

4(t+6)(t-1)=0

200

Solve using the square root property.

x^2=2

x=-sqrt2,sqrt2

200

Solve using the square root property.

3x^2+39=45

x=sqrt2,-sqrt2

200

Solve the following equation for x.

Hint: Let u=x2. There will also be 4 solutions.

x^4-5x^2+4=0


x=-2,2,-1,1

300

Solve the equation by factoring.

x^2+6x-40=0

x=4,-10

300

Solve the equation by factoring.

2n^2-8n-24=0

n=6,-2

300

Solve using the square root property.

x^2-13=0

x=sqrt13,-sqrt13

300

Solve using the square root property. 

x^2-150=0

x=5sqrt6,-5sqrt6

300

Solve the equation below.

9x^4-144=0

x=2,-2

400

Solve the equation by factoring.

x^2-3x-28=0

x=-4,7

400

Solve the equation by factoring.

3a^2-4a-4=0

a=2,-2/3

400

Solve using the square root property.

t^2-32=32

t=8,-8

400

Solve using the square root property. 

3x^2-4=20

x=2sqrt2,-2sqrt2

400

Solve the equation below.
Hint: Let u=x2-1

(x^2-1)^2+5(x^2-1)-6=0

x=-sqrt2,sqrt2

500

Solve the equation by factoring.

x^2-3x=4

x=-1,4

500

Solve the equation by factoring.

6a^2+38a+12=0

a=-6,-1/3

500

Solve using the square root property.

36p^2=19

p=sqrt19/6,-sqrt19/6

500

Solve this equation.

(2x-1)^2=49

x=4,-3

500

Solve the equation below.

Hint: Let u=3x^2+4

2(3x^2+4)^2-12(3x^2+4)+16=0

x=0