## MYTUTOR SUBJECT ANSWERS

626 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!

11 months ago

Answered by Asher, a GCSE Maths tutor with MyTutor

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

#### 531 SUBJECT SPECIALISTS

£24 /hr

Victoria S.

Degree: Physiology (Bachelors) - Liverpool University

Subjects offered:Maths, Biology

Maths
Biology

“Here to help with last minute revision prep! I'm Tory, in my final year studying Physiology at Uni of Liverpool and am a 5* rated tutor here to suit your needs.”

£18 /hr

Gayathri S.

Degree: Medicine (Bachelors) - Birmingham University

Subjects offered:Maths, Biology+ 2 more

Maths
Biology
-Personal Statements-
-Medical School Preparation-

“I’m a medical student keen to pass on my passion for learning to others! I’m immediately available to tutor at flexible times. ”

£22 /hr

Eleanor H.

Degree: Biochemistry (Bachelors) - Bristol University

Subjects offered:Maths, Chemistry+ 1 more

Maths
Chemistry
Biology

“ABOUT ME: I am a biochemistry student, currently studying at the University of Bristol, and have had a passion for the natural sciences from a very young age. I am patient, hardworking and experienced, having tutored students in Maths...”

#### 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 do you differentiate x^x?

Solve the simultaneous equation: 2x + y = 7 and 3x - y = 8

The circle c has equation x^2+y^2 = 1 . The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.

In triangle ABC, right angled at B, AB = 3 cm and AC = 6 cm. Determine angle BAC and angle ACB.

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