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College Algebra  /  Alg 201  ·  Atom · ~20 seconds

The Divided-Away Solution

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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.

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From x² = 5x, dividing by x leaves x = 5 — and x = 0, which checks as 0 = 0, is gone.

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