AI Professor Kai
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Conversation
Voice or textI understood: Subtract 2x from both sides.
Main Teaching Board
Worked example: factoring a quadratic
x² + 7x + 10 = 0
Find two numbers: 2 × 5 = 10 and 2 + 5 = 7.
(x + 2)(x + 5) = 0
x + 2 = 0 or x + 5 = 0
x = −2 or x = −5
Check: (−2)² + 7(−2) + 10 = 0 and (−5)² + 7(−5) + 10 = 0.
First, identify the kind of equation we are solving.
Mathematical notation
Choose a mathematically valid first operation.
5x + 4
=
2x + 19
− 2x
− 2x
5x − 2x + 4
=
2x − 2x + 19
3x + 4
=
19
− 4
− 4
3x
=
15
÷ 3
÷ 3
x
=
5
AI Prof Kai will not change the board until the student's operation is confirmed.
Supporting Visual
Choose a first step
5x + 4 − 2x
2x + 19 − 2x
The same amount is removed from both sides, so equality is preserved.
Check the solution in the original equation
Left side
5(5) + 4 = 29
Right side
2(5) + 19 = 29
Both sides equal 29, so x = 5 is verified.
Guided lesson completed
You selected each correct operation and verified the solution.
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