# 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 49E
To determine

## Solve the equations by factoring.

Expert Solution

x=13,2

### Explanation of Solution

Given information:

3x2+5x=2

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:

3x2+5x=2

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

3x2+5x2=03x2+6x1x2=03x(x+2)1(x+2)=0(3x1)(x+2)=0

x=13,2

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