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

3654 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is the easiest way to solve a simultaneous equation?


Rectangle ABCD has sides 2x+5 and x+2 with rectangle EFGH of sides x+3 and x cut out of it. The total area of shape ABCD is 5cm^2. Show that 0 = x^2 + 6x +5 [5 Marks]


(x + 2)(x + 3)(x + 6)


Calculate the length of side AB (opposite) in a right angled triangle, where angle C is 32 degrees and length of BC (hypotenuse) is 8cm.


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