Solve the equation 18x^2-3x=6

First put the equation into the correct form by setting it to 0:18x^2-3x-6=0Look for the common factor in the equation and take it out:3(6x^2-x-2)Using the grid method (which I would show on whiteboard) factor the problem:3(3x-2)(2x+1)=0To find the values of x, set each bracket to equal zero and solve:3x-2=0, 3x=2, x=2/32x+1=0, 2x=-1, x=-1/2There are 2 possible values of x because this is a quadratic equation so looking at the graph of the equation we would be able to see that the graph crosses the x axis at 2 different points

GH
Answered by Grace H. Maths tutor

4979 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The turning point on a quadratic function


Solve algebraically the simultaneous equations: x^2 + 3x + 10 = y and; 4 - 2x = y. Give answers as co-ordinates.


Factorise 7x^2+4x-3


How do I rationalised and simplify surds?


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