MYTUTOR SUBJECT ANSWERS

154 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, ...

4 months ago

Answered by Asher, a GCSE Maths tutor with MyTutor

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

327 SUBJECT SPECIALISTS

£18 /hr

Matthew M.

Degree: Engineering Mathematics (Bachelors) - Bristol University

Subjects offered: Maths, Law+ 1 more

Maths
Law
History

“I am an Engineering Math student at the University of Bristol. I have a range of interests, which cover maths, history and law, and would love to help others in these areas as well as encourage the same enthusiasm I have in others! I a...”

MyTutor guarantee

£18 /hr

Emma W.

Degree: Veterinary Medicine (Bachelors) - Liverpool University

Subjects offered: Maths, Science+ 2 more

Maths
Science
Biology
-Personal Statements-

“Who am I? I am a veterinary student at the University of Liverpool. From a young age I have always had a keen interest in science - and animals of course! I want to share my passion for science and maths with others, and show that it'...”

£18 /hr

Maddie S.

Degree: Film and Televison Production (Bachelors) - York University

Subjects offered: Maths

Maths

“Who am I?I am a student at The University of York. I've just finished the first year of my Film and TV Production BSc degree.The main reason I chose to come to York was because it was a science based degree; I'd love to instill my ...”

About the author

Asher C.

Currently unavailable: for new students

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

Find the maximum or minimum value of the function: y = 6x^2 + 4x + 2

simultaneous equations - 2x + y = 7 and 3x -y = 8

Solve the simultaneous equation: 6x+y = 27 3x-2y = 6

Solve this quadractic equation: x^2 - 8x + 15 = 0

View GCSE Maths tutors

Cookies:

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

mtw:mercury1:status:ok