Solve the equation: x^2+7x=-12

The first step for this question is to rearrange the equation to get the right hand side equal to 0.x^2+7x+12=0Next, we have to try and factorise this equation. We do this by considering what two numbers multiply together to make 12 and add together to make 7? (112, 1+12) or (26, 2+6) or (3*4, 3+4). The only combination that works is the third one.This means we can factorise into the form (x+4)(x+3)=0if the expression (x+4) and the expression (x+3) multiplied together make 0, then one of the expressions must equal 0. Therefore x=-4 , -3.

Answered by George A. Maths tutor

3437 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

If angle x = 63 degrees, work out the remaining angle of this right-angled triangle


How do you factorize a quadratic when a ≠ 1 when ax²+bx+c=0


Solve these simultaneous questions: 2y+x =8 and y-2x = -1.


A ship sets off on a bearing of 072 degrees from port and travels 3.4km in a straight line. How far north of the ship's starting position is its final position? Give your answer to two decimal places.


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