# Solve the equations by factoring.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.5, Problem 52E
To determine

## Solve the equations by factoring.

Expert Solution

x=3,3

### Explanation of Solution

Given information:

3x227=0

Formula used:

Splitting the middle term:- in this method, middle term is splitted in such a way that the product of its part is equal to the product of constant and first terms coefficient.

Calculation:

3x227=03x2+0x27=0

Splitting middle term in such a way that product of its part is equal to product of constant and coefficient of first term.

3x2+0x27=03x29x+9x27=03x(x3)+9(x3)=0(x3)(3x+9)=0

x=3,93x=3,3

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