Simplify, leaving your answer as a quadratic: (2x + 3)/(x+4) - (3x - 6) = 4

(2x + 3)/(x+4) - (3x - 6) = 4 Initial equationTimes all terms by (x + 4) (2x + 3) - (3x - 6)(x + 4) = 4 (x + 4)Multiply out the brackets (2x + 3) - (3x2 + 12x - 6x - 24) = 4x + 16Remove from brackets by factoring in the minus sign 2x + 3 - 3x2 - 12x + 6x + 24 = 4x + 16Group the terms 2x - 12x + 6x - 3x2 + 3 + 24 = 4x + 16 Add/Subtract the terms -4x - 3x2 + 27 = 4x + 16Move all terms to one side 3x2 + 8x - 11 = 0

AO
Answered by Anya O. Maths tutor

3679 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Here are the first four terms of a quadratic sequence: 11 26 45 68. Work out an expression for the nth term.


Bananas cost 30p each. Oranges cost 45p each. Write an expression, in pence, for the cost of x bananas and y oranges..


3x + 2y = 6, 5x+3y=11, solve for x and y.


Kevser buys 5kg of sweets for £10. She separates the sweets so that there are 250g of sweets in each bag. She sells each bag for 65p. She sells all bags. What is her percentage profit?


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning