Exercise 61 Page 175

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

x=- 5/4 and x=1

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. We will also multiply the equation by 4 to remove decimals.

x^2+0.25x=1.25

SubEqn

LHS-1.25=RHS-1.25

x^2+0.25x-1.25=0

MultEqn

LHS * 4=RHS* 4

4x^2+x-5=0

WriteSum

Write as a sum

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

▼

Factor out 4x & 5

FactorOut

Factor out 4x

4x(x-1)+5x-5=0

FactorOut

Factor out 5

4x(x-1)+5(x-1)=0

FactorOut

Factor out (x-1)

(4x+5)(x-1)=0

Solving

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

(4x+5)(x-1)=0

ZeroProdProp

Use the Zero Product Property

lc4x+5=0 & (I) x-1=0 & (II)

▼

(I): Solve for x

AddEqn

(I): LHS+1=RHS+1

l4x=- 5 x-1=0

DivEqn

(I): .LHS /4.=.RHS /4.

lx= - 54 x-1=0

MoveNegNumToFrac

(I): Put minus sign in front of fraction

lx=- 54 x-1=0

AddEqn

(II): LHS+1=RHS+1

lx_1=- 54 x_2=1

Subchapter links

Exercises p.174-177

100

101

102

103

Exercise 61 Page 175

Hints

Check the answer

Practice exercises

Asses your skill

Factoring

Solving