Exercise 49 Page 175

Make sure you rewrite the equation leaving all the terms on one side.

x=5/6 and x=- 1/2

Practice makes perfect

We want to solve the given equation by factoring.

Factoring

Let's start by writing all the terms on one side of the equals sign.

12x^2-4x=5

SubEqn

LHS-5=RHS-5

12x^2-4x-5=0

WriteSum

Write as a sum

12x^2+6x-10x-5=0

▼

Factor out 6x & - 5

FactorOut

Factor out 6x

6x(2x+1)-10x-5=0

FactorOut

Factor out - 5

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

FactorOut

Factor out (2x+1)

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

Solving

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

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

ZeroProdProp

Use the Zero Product Property

lc6x-5=0 & (I) 2x+1=0 & (II)

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(I): Solve for x

AddEqn

(I): LHS+5=RHS+5

l6x=5 2x+1=0

DivEqn

(I): .LHS /6.=.RHS /6.

lx= 56 2x+1=0

▼

(II): Solve for x

SubEqn

(II): LHS-1=RHS-1

lx= 56 2x=- 1

DivEqn

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

lx= 56 x= - 12

MoveNegNumToFrac

(II): Put minus sign in front of fraction

lx_1= 56 x_2=- 12

Subchapter links

Exercises p.174-177

100

101

102

103

Exercise 49 Page 175

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Practice exercises

Asses your skill

Factoring

Solving