\(3x^2 = 48\) is an example of a quadratic equation that can be solved simply. If \((x + 1)(x + 2) = 0\), then \(x + 1 = 0\) or \(x + 2 = 0\), meaning \(x = -1\) or ...

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In particular, they show that any quantum computation can be encoded into an instance of solving linear equations, even with the restrictions required for their quantum solver to be efficient.