Solve the following equation: (3(x-6) - 81)/4x = 0

The first step is to realise that a trivial solution of x is x = 0, which can be determined from the '4x' denominator. Now zooming in on the numerator and expanding gives us '3x^2 - 18 - 81'. Looking at the coefficients a factor of 3 can be taken out, leaving us with 'x^2 - 6 - 27'.Thinking of numbers that multiply to -27 and add to -6, the 27 immediately highlights that these will be some combination of 9 and 3. It is now apparent that the solution to this problem is in the form of (x-9)(x+3), giving x = 9, -3 or 0

Answered by Harry P. Maths tutor

2630 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the values of a, b and c in the equation: (5x + 3)(ax + b) = 10x^2 + 11x + c.


Solve the simultaneous equations: 2x - y = 1, 3x + y = 14


Factorise x^2+3x-4


expand out the bracket (2m - 3)(m + 1).


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