# 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 50E
To determine

Expert Solution

## Answer to Problem 50E

x=73,32

### Explanation of Solution

Given information:

6x(x1)=21x

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:

6x(x1)=21x6x26x=21x6x26x21+x=06x25x21=0

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

6x25x21=06x214x+9x21=02x(3x+7)3(3x+7)=0(3x+7)(2x3)=0

x=73,32

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