Solve the equation [(3x + 3)/2x] + 2x - 1 = -3

In this question we are trying to find all the possible solutions of the variable x that will satisfy the given equation. Firstly, we see there is a denominator on one of the terms so we multiply all the terms in the equation by this denominator so as to simplify it. Next we can multiply the brackets out and bring all the terms to one side, while paying careful attention to the changes in signs. Now we have a quadratic equation and the simplest way to solve this is break up the x term and find a common bracket. Once we have done this we can easily solve for x, getting the ansers -1 and -3/4. Below is a step by step example of the process.

[(3x + 3)/2x] + 2x - 1 = -3

(3x + 3) + (2x)(2x - 1) = (2x)(-3)

3x + 3 + 4x2 - 2x = -6x

4x2 + 7x + 3  = 0

4x2 + 4x + 3x + 3 = 0

4x(x + 1) + 3(x + 1) = 0

(x + 1)(4x + 3) = 0

x = -1 or x = -3/4

CB
Answered by Chris B. Maths tutor

3171 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The cost of a ticket increases by 10% to £19.25. What is the original cost?


Expand and simplify (x-2)(2x+3)(x+1)


Given the curve y=x^2 +1 and the line y=k, find, using graphical methods only, the value of k for which there is exactly one solution.


If the hypotenuse of a triangle is 7cm and another side is 4cm, what's the length of the other side? How can I work this out?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences