Exercise 12 Page 174

Make sure you rewrite the equation leaving all the terms on one side, and that you factor out the GCF if it exists.

x=- 1/3 and x= 1/2

Practice makes perfect

We want to solve the given equation by factoring.

Factoring

Let's start by factoring out a GCF, if we find one.

12x^2-2x-2=0

FactorOut

Factor out 2

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

WriteSum

Write as a sum

2(6x^2-3x+2x-1)=0

FactorOut

Factor out 3x

2 ( 3x(2x-1)+2x-1 )=0

FactorOut

Factor out (2x-1)

2(3x+1)(2x-1)=0

Solving

To solve this equation, we will apply the Zero Product Property.

2(3x+1)(2x-1)=0

DivEqn

.LHS /2.=.RHS /2.

(3x+1)(2x-1)=0

ZeroProdProp

Use the Zero Product Property

lc3x+1=0 & (I) 2x-1=0 & (II)

SubEqn

(I): LHS-1=RHS-1

l3x=- 1 2x-1=0

DivEqn

(I): .LHS /3.=.RHS /3.

lx=- 13 2x-1=0

AddEqn

(II): LHS+1=RHS+1

lx=- 13 2x=1

DivEqn

(II): .LHS /2.=.RHS /2.

lx_1=- 13 x_2= 12

Subchapter links

Exercises p.174-177

100

101

102

103

Exercise 12 Page 174

Hints

Check the answer

Practice exercises

Asses your skill

Factoring

Solving