Solve for x: 2x^2 + 2x -24 = 0

  1. The general formula of a quadratic is ax^2 + bx + c -> this is a quadratic 2) Factorise using common factor (=2) -> 2(x^2 + x - 12) = 0 3) Factorise the quadratic to (x + m)(x + n): the two numbers (m and n) in each bracket ADD to make b and MULTIPLY to make c. Don't forget the common factor from step 2 -> 2(x-3)(x+4) = 0 4) Divide both side of equation by 2 -> (x-3)(x+4) = 0 5) Two values multiply to make '0', so this means either or both equal 0. So, if (x-3) = 0, then x = 3; if (x+4) = 0, then x = -4.
YZ
Answered by Yige Z. Maths tutor

10470 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations: (1) x^2 + y^2 = 25 and (2) y - 3x = 13


Solve simultaneously: x^2+y^2=25 and y-3x=13


A scalene triangle PQR, where PQ is (3x+4)m long, QR is (2-x)m long and angle PQR is 30 degrees, has an area of 2 square metres. Find x.


What is the sum of the first 100 numbers of the following sequence- 4,12,36, 108, .........


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences