The only ECZ exam companion that shows every step, and lets a pupil ask why.
Written by a Zambian maths teacher, for parents in Lusaka and the Copperbelt, and for relatives abroad, paying for a child at home.
Question 3. Solve 2x² − 5x − 3 = 0
- 1
Split −5x into −6x + x
2x² − 6x + x − 3 = 0
- 2
Factorise in pairs
2x(x − 3) + 1(x − 3) = 0
- 3
Common bracket
(2x + 1)(x − 3) = 0
- 4
Each bracket to zero
x = −½ or x = 3

Worksheet
Quadratic equations
Full solution, step by stepMarking
- Method shown
- !Sign slip, last line
Every step shown
Each answer is worked out in full, line by line.
Ask why, at any hour
A pupil’s own question gets an answer with the working shown.
ECZ method and notation
Built on the worksheets and exam packs of a practising Zambian maths teacher.
The phone screen, worksheet and marking cards are samples of the product, shown with sample content. The portrait is a generated image.
Every answer, worked out in full.
Each question comes with its working, and a place to ask why.
Step 1: Pick a worksheet or a past-paper style question.
Step 2: Read the full solution, every step in the ECZ method.
Step 3: Ask why, at any hour, and see the working again.

- Subject: Mathematics
- Method: ECZ
- Working: every step
Written by a teacher who still teaches.
AfriLearn AI is built on the MathMastery Hub worksheets and exam packs of a practising Zambian maths teacher. The AI tutor answers a pupil’s own question the way a good teacher would: showing working, in the ECZ method and notation.
Inside a worked answer.
One sample question, three ways AfriLearn AI answers it. Every line below is sample content.
Question 3. Solve 2x² − 5x − 3 = 0
- 1
Multiply a and c: 2 × (−3) = −6. Find two numbers with product −6 and sum −5.
−6 and 1
- 2
Split the middle term.
2x² − 6x + x − 3 = 0
- 3
Factorise in pairs.
2x(x − 3) + 1(x − 3) = 0
- 4
Take out the common bracket.
(2x + 1)(x − 3) = 0
- 5
Set each bracket to zero.
x = −½ or x = 3
- 6
Check x = 3 in the original equation.
2(9) − 15 − 3 = 0 ✓
What is inside.
Worksheets, mock exams and video lessons, with an AI tutor beside every one.

ECZ-aligned worksheets and past-paper style questions, each with a full step-by-step solution.
Worksheets

Sit a mock exam and have it marked, line by line.
Mock exams

Short video lessons for the topics that are easier to watch than to read.
Video lessons
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