MYTUTOR SUBJECT ANSWERS

801 views

Solve for x: 2x^2 + 7x + 6 = 0

Solve for x: 2x2 + 7x + 6 = 0

The first thing to do is look at the left hand side and factorise it. To do this we use the reverse of FOIL. Then when the expression is factorised, we can solve for x.

1. First find the skeleton with just x's: 

(2x       )(x        )

2. Next, find 2 numbers that mutiply to make 6, and these go at the end of the brackets. This could be 6 and 1 or  2 and 3, or -6 and -1 or -2 and -3.

Since there is a 7x term, the 2 numbers must add to 7 when one of them is multiplied by 2 - due to the 2x term (2x     ).

so (2x       3)(x      2) or (2x      2)(          3)

3. Trial and error shows us that (2x + 3)(x + 2) is the right answer. 

4. Now set each bracket respectively to 0 and solve for x. The solutions are x = -3/2 and x = -2.

And there we have the answers!

Asher C. 11 Plus Maths tutor, GCSE Maths tutor, A Level Maths tutor, ...

1 year ago

Answered by Asher, a GCSE Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

619 SUBJECT SPECIALISTS

PremiumJames L. A Level Biology tutor, A Level Chemistry tutor, GCSE Biology...
£24 /hr

James L.

Degree: Medical Sciences (Bachelors) - Exeter University

Subjects offered:Maths, Science+ 4 more

Maths
Science
Physics
Chemistry
Biology
-Personal Statements-

“Hi, I'm James, a Masters student studying Biology. I'm really passionate about science, and I hope i can share some of it with you!”

£24 /hr

Sioned D.

Degree: Law (Bachelors) - University College London University

Subjects offered:Maths, History+ 4 more

Maths
History
English
Biology
.LNAT.
-Personal Statements-

“Hello! I'm a Cambridge University Masters student and UCL Law graduate with a great deal of tutoring experience in English, Maths, Sciences and Entrance Exams.”

Sherin W. A Level Maths tutor, GCSE Maths tutor, GCSE Further Mathema...
£18 /hr

Sherin W.

Degree: Biomedical science (Bachelors) - Sussex University

Subjects offered:Maths, Further Mathematics + 4 more

Maths
Further Mathematics
Chemistry
Biology
-Personal Statements-
-Medical School Preparation-

“For the past 5 years I have been tutoring, individuals to small classes. I am passionate about teaching and think it is an essential part of life and careers.”

MyTutor guarantee

|  2 completed tutorials

About the author

Asher C.

Currently unavailable:

Degree: Engineering Science (Masters) - Oxford, Keble College University

Subjects offered:Maths, Science+ 4 more

Maths
Science
Physics
Chemistry
-Personal Statements-
-Oxbridge Preparation-

“Me Hello, I'm Asher! I have recently completed an MEng (4 years) in Engineering Science at Keble College, University of Oxford. My degree is all about problem solving,where I've learn to solve all types of both practical and academic ...”

You may also like...

Posts by Asher

A pot of water is heated to 100C and then placed in a room at a temperature of 18C. After 5 minutes, the pan temperature falls by 20C. Find the temperature after 10minutes.

Solve for x: 2x^2 + 7x + 6 = 0

Other GCSE Maths questions

How would one multiply out brackets?

Work out the value of 125^(-2/3)

How do you rationalise the denominator?

There are 200 students in Year 10. 110 are boys. There are 250 students in Year 11. 140 are boys. Which year has the greater proportion of boys?

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok