Help! How do I solve quadratic equations?

Quadratic equations contain the term x2 and they can normally be written in the format of:ax2 + bx + c = 0. You can solve these equations by using a technique called factorisation. Factorised quadratic equations take the form of (x + d)(x+e). For example: 2x2 + 10x + 12 = 0. Divide each side by 2. x2 + 5x + 6 = 0. Find 2 numbers (d and e) which multiply to make 6 and sum to make 5. 2 x 3 = 6 and 2 + 3 = 5. Write it in the form of (x + d)(x+e) = 0. (x + 2)(x + 3) = 0. If 2 things multiply to make 0, then one of them has to be 0!(x+2) = 0 or (x+3) = 0 x = -2 or x = -3

MH
Answered by Michael H. Maths tutor

3006 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations y=2x and y=x+3


Find the equation of the line passing through the point ( 2, −3) which is parallel to the line with equation y + 4x = 7


A right-angled triangle has a base of 5 cm, a height of 12 cm. Find the length of the hypotenuse.


A bag contains 5 blue marbles and 5 red marbles. If marbles are NOT replaced after being selected from the bag, what is the probability (in percentage) of picking 2 red marbles? Give your answer to one decimal place.


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:

© 2026 by IXL Learning