Solve the quadratic 3x^2+11x+6=0

In order to solve the quadratic, we need to factorise it. Consider the coefficient on the x^2, its only factors are 1 and 3 so this tells us that in our factorising we will have something that looks like (x...)(3x...). All the signs are positive so we know that it will also be a case of positive numbers (x+...)(3x+...).

Consider the factors of 6, by looking i can see that a combination on 3 and 2 is going to add up to get to 11 as 3x3=9 and x2=2x which totals 11x. Hence we have (x+3)(3x+2)=0. From that, I can show that my solutions will be x=-3, -2/3 after equating each bracket to 0.  

NF
Answered by Natalie F. Maths tutor

8794 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the possible values of x from the equation 3(x^2)+2x-4=2(x^2)+3x+8


Increase £160 by 45%.


Simplify the expression 5x + 6y -4x+ 7y


Prove that 1/sin(2theta) - cos(2theta)/sin(2theta) = tan(theta)


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:

© 2025 by IXL Learning