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Babylonians solve quadratic equations with the completing the square method.
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Greek mathematician Pythagoras' followers use geometric, visual strategies to solve equations.
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Pythagoras and Euclid both studied famous law concerning right angled triangles.
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Diophantus Of Alexandria begins replacing statements with symbols.
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Muhammad Ibn Musa Al-Khwarizmi write the first clear book explaining solving equation with the same operations on both sides.
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Al-Samawal defines algebra with operating on unknows.
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Started using letters to replace variables and used the +/- signs to represent addition and subtraction.
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German mathematician proves the fundamentals of algebra.
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Found that there is no general formula that solves equation.
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German makes discoveries about non commutative algebra.