Solve by factorisation: 2(x^2) - 5x - 12 = 0

First step is to multiply coefficient of first term (2) with the constant (-12) to enable us to split the middle term.2*(-12) = -24, therefore we need to find two numbers that multiply to -24, and add to give the coefficient of the second term (-5). These two numbers are -8 and 3 as these numbers add to give -5 and multiply to give -24. Therefore we can split the middle term: 2x2 - 8x + 3x - 12 = 0By factorising:2x(x - 4) + 3(x - 4) = 0, (x - 4)(2x + 3) = 0.If (x - 4) = 0, x = 4.If (2x + 3) = 0, x = - 1.5.Therefore, solutions for x for this quadratic equation are x = 4, -1.5.

Answered by Edward C. Maths tutor

4700 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you use the completing the square method to solve a quadratic equation?


The length of a rectangle is five times the width. The area of the rectangle is 1620 cm(squared) Work out the width of the rectangle.


How do I know which out of the Sine and Cosine rule I should use?


n is an integer greater than 1. Prove algebraically that n^2-2-(n-2)^2 is always an even number


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