I am trying to get the commands right in fzero solve this equation for V but can't get out of error messages. What are the correct commands?

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(650.4840847370483-(499.99999-V))/((150.4840947370483-V*0.5)/(V*0.8660254037844386))=((499.99999-V)-((650.4840847370483/(((150.4840947370483-V*0.5)/(V*0.8660254037844386))+(1.364221444252341)))*(1.364221444252341)))/((((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((265.44217796995656)-(650.4840847370483-(499.99999-V))/((284.6902147370483)/((265.44217796995656)-((284.6902147370483)/((150.4840947370483-V*0.5)/(V*0.8660254037844386)))))))+1.7320508075688773))*1.7320508075688773+(499.99999-V))-((650.4840847370483/(((150.4840947370483-V*0.5)/(V*0.8660254037844386))+(1.364221444252341)))*(1.364221444252341)))/((268.13379275127335)-(((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((265.44217796995656)-(650.4840847370483-(499.99999-V))/((284.6902147370483)/((265.44217796995656)-((284.6902147370483)/((150.4840947370483-V*0.5)/(V*0.8660254037844386)))))))+1.7320508075688773))*1.7320508075688773+(499.99999-V))-365.79387)/((284.6902147370483)/((268.13379275127335)-((650.4840847370483-(499.99999-V))/1.7320508075688773)))))

Accepted Answer

Walter Roberson
Walter Roberson on 6 Sep 2022
syms V
eqn = (650.4840847370483-(499.99999-V))/((150.4840947370483-V*0.5)/(V*0.8660254037844386)) == ((499.99999-V)-((650.4840847370483/(((150.4840947370483-V*0.5)/(V*0.8660254037844386))+(1.364221444252341)))*(1.364221444252341)))/((((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((265.44217796995656)-(650.4840847370483-(499.99999-V))/((284.6902147370483)/((265.44217796995656)-((284.6902147370483)/((150.4840947370483-V*0.5)/(V*0.8660254037844386)))))))+1.7320508075688773))*1.7320508075688773+(499.99999-V))-((650.4840847370483/(((150.4840947370483-V*0.5)/(V*0.8660254037844386))+(1.364221444252341)))*(1.364221444252341)))/((268.13379275127335)-(((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((265.44217796995656)-(650.4840847370483-(499.99999-V))/((284.6902147370483)/((265.44217796995656)-((284.6902147370483)/((150.4840947370483-V*0.5)/(V*0.8660254037844386)))))))+1.7320508075688773))*1.7320508075688773+(499.99999-V))-365.79387)/((284.6902147370483)/((268.13379275127335)-((650.4840847370483-(499.99999-V))/1.7320508075688773)))));
vpasolve(eqn)
There are 7 solutions. 2 negative, 3 positive, two complex conjugates.

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