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I can solve quadratic equations algebraically by factorising where rearrangement is required.

Muuji qoraalka
In order for factorising to be a valid method, the quadratic must equal zero. To achieve a product of zero, one of the binomial expressions evaluate to zero. Either expression could be zero so you must find the solution for each expression. If the quadratic were not equal to zero, you would have uncertainty about what each expression must equal.

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