(2x+3)/(x-4) - (2x-8)/(2x+1) = 1 Solve for x

Multiply out the denominator, take care to multiply both sides of the equation:

(2x+3)(2x+1) - (2x-8)(x-4) = (2x+1)(x-4)

Expand the brackets, pay attention the the signs when multiplying, expecially the negative between the two sets of brackets on the left hand side.

4x2+2x+6x+3 - (2x2-8x-8x+32)=2x2-7x-4

4x2+2x+6x+3-2x2+8x+8x-32=2x2-7x-4

Group like terms on each side of the equation.

2x2+24x-29=2x2-7x-4

Bring all the terms to one side to leave a quadratic equation equal to 0. Remember to change the sign as you bring a term from one side to the other. 

31x-25 = 0

Rearrange for x

x= 25/31 (=0.81)

Answered by Lucy M. Maths tutor

2690 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I draw a stem and leaf diagram?


Fully factorise and simplify (x^2 +7x + 10) / (x^2 - 25)


What is the slope of the function y=3x(squared)-9x+7 at x=2.


I set up a tent (assume it’s a regular triangular prism) of length 2.2m. The triangular face of the tent is an isosceles triangle. The two identical sides are both 1.4m long and have an angle of 34degrees between them. Work out the volume of the tent -3sf


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences