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Wolfram|Alpha's long-term goal is to make all systematic knowledge immediately computable and accessible to everyone. Our mission is to collect and curate all objective data; implement every known model, method and algorithm; and make it possible to compute whatever can be computed about anything. Our work builds on the achievements of science ...

For equation solving, Wolfram|Alpha calls the Wolfram Language's Solve and Reduce functions, which contain a broad range of methods for all kinds of algebra, from basic linear and quadratic equations to multivariate nonlinear systems. In some cases, linear algebra methods such as Gaussian elimination are used, with optimizations to increase ...

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