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This article presents a solvable quintic equation under the conditions that several coefficients of a quintic equation are restricted to become dependent on the other coefficients. We can solve a quintic equation by restricting two coecients among total four coefficients available. If a quintic equation has a quadratic factor (x2+b1x+b0), then we get a two simultaneous equations, which can be solved by using a sextic equation under restriction.
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