Hi everyone,

Really enjoyed the webinar, great to see you all actively participating.

A few things that stood out from the webinar:

• Some of you mentioned that simplifying expressions still needs more practice 
• A very good question came up: “How do you recognise a quadratic straight away?”
• Also, a few of you said you understand in class but forget steps in exams which is actually very common

This is exactly why we’ll spend a bit more time strengthening Algebra basics in the next session, but this time I’ll break it down even more step-by-step so it sticks properly.

At the same time, I don’t want to limit this only to basics.

Let me know:

• What topic would you like next apart from Algebra?
• Are there specific areas you’re struggling with?

We can also cover:

• Trigonometry

  (if you still want more clarity on these)

• Logarithms

Or even specific questions you’ve seen and didn’t understand.

I’ll shape the next webinar based on your responses

Let’s change that.

Try this:

Solve:
2sin²x − 3sinx + 1 = 0 (0° ≤ x ≤ 360°)

• Step 1: Treat it like a quadratic
  Let sinx = y
  2y² − 3y + 1 = 0
• Step 2: Factorise
  (2y − 1)(y − 1) = 0
• Step 3: Solve
  sinx = 1/2 or sinx = 1
• Step 4: Find angles
  sinx = 1/2 → x = 30°, 150°
  sinx = 1 → x = 90°

Final answers: 30°, 90°, 150°

Key idea: Many trig problems are just algebra in disguise.

If you’ve got a question you’re stuck on, post it below
I’ll walk through it step-by-step - not just the answer, but how to think through it.

Live past paper walkthroughs coming soon.

I’ve noticed a lot of students posting questions online (especially on Reddit) and either getting no replies… or answers that don’t actually explain the method clearly.

Let’s do things differently here.

Here’s a quick one to get started:

Solve:
log₂(x − 1) + log₂(x − 3) = 3

Try it yourself first - then check the approach below:

Combine logs:
log₂[(x − 1)(x − 3)] = 3

Convert to exponential form:
(x − 1)(x − 3) = 2³ = 8

Expand and solve:
x² − 4x + 3 = 8
x² − 4x − 5 = 0

Factorize:
(x − 5)(x + 1) = 0

Final answer:
x = 5 (valid), x = -1 (reject - outside domain)

Key takeaway: Always check domain restrictions in logs.