College Algebra / Unit 4 Alg 201 short lesson, about 20 seconds
The Divided-Away Solution
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The idea
The divided-away solution is the root lost when both sides of an equation are divided by the variable; division by x quietly assumes x is not zero.
In practice
From x² = 5x, dividing by x leaves x = 5 — and x = 0, which checks as 0 = 0, is gone.
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