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.
Answered by Yige Z. Maths tutor

10249 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve this pair of simultaneous equations: 3x + 2y = 4 and 2x + y = 3


solve the equation x^2 -5x +1 = 25


Simplify the following expression: √48+√(16 3/9) Give your answer in the form: (a√3)/b where a and b are integers.


There are n sweets in a bag, 6 orange, rest yellow. H takes two, one after another, and eats them. Probability both are orange is 1/3. Show n^2 - n - 90 = 0.


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