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

2877 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I multiply fractions?


How do I know whether to use sin, cos, or tan in trigonometry?


50 people ate a snack , some had apples some had biscuits the rest had banana. 21 people were male the rest female. 6 out of 8 people who had apples were female. 18 people had biscuits. 9 females had bananas. How many males had biscuits?


How do I solve simultaneous equations? eg 1) 4x = 16 - 2y and 2) 3x + y = 9


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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences