Finding the solution of this long equation using Maple

• jamesbrazil

jamesbrazil

TL;DR Summary
Command to solve a strange equation in Maple for ##x \ll 1##
I need help solving an equation. I started using Maple, but had no success. Could someone explain to me which command to use? I need to find a very small value of ##x##, that is, ##x \ll 1##. The equation is

$$434972871000000000.0+{\frac {\sqrt {6} \left( { 1.488388992\times 10^ {-36}}\,\ln \left( 1/12\,{\frac {12\,\sqrt {6}{x}^{2}+{ 1.488388992\times 10^{-36}}\,\sqrt {6}+12\,\sqrt {6\,{x}^{2}+{ 1.488388992\times 10^{-36}}}x}{x}} \right) \sqrt {6}-12\, \sqrt {6\,{x}^{2}+{ 1.488388992\times 10^{-36}}}x \right) }{ 72\,{x}^{3}}}-{\frac { \left( 0.001704000000\,{x}^{2}+{ 1.488388992\times 10^{-36}} \right) \left( { 1.488388992\times 10^{ -36}}\,\ln \left( 1/12\,{\frac { 0.003408000000\,\sqrt {6}{x}^{2 }+{ 1.488388992\times 10^{-36}}\,\sqrt {6}+12\,\sqrt { 0.0000004839360000\,{x}^{2}+{ 4.227024737\times 10^{-40}}}x }{x}} \right) \sqrt {6}-12\,\sqrt { 0.0000004839360000\,{x}^ {2}+{ 4.227024737\times 10^{-40}}}x \right) \sqrt {6}}{72\,\sqrt { 6.000000001\,{x}^{2}+{ 5.240806311\times 10^{-33}}}\sqrt { 0.0000004839360000\,{x}^{2}+{ 4.227024737\times 10^{-40}}}{ x}^{3}}}=0$$

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TL;DR Summary: Command to solve a strange equation in Maple for ##x \ll 1##

I need help solving an equation. I started using Maple, but had no success. Could someone explain to me which command to use? I need to find a very small value of ##x##, that is, ##x \ll 1##. The equation is

$$434972871000000000.0+{\frac {\sqrt {6} \left( { 1.488388992\times 10^ {-36}}\,\ln \left( 1/12\,{\frac {12\,\sqrt {6}{x}^{2}+{ 1.488388992\times 10^{-36}}\,\sqrt {6}+12\,\sqrt {6\,{x}^{2}+{ 1.488388992\times 10^{-36}}}x}{x}} \right) \sqrt {6}-12\, \sqrt {6\,{x}^{2}+{ 1.488388992\times 10^{-36}}}x \right) }{ 72\,{x}^{3}}}-{\frac { \left( 0.001704000000\,{x}^{2}+{ 1.488388992\times 10^{-36}} \right) \left( { 1.488388992\times 10^{ -36}}\,\ln \left( 1/12\,{\frac { 0.003408000000\,\sqrt {6}{x}^{2 }+{ 1.488388992\times 10^{-36}}\,\sqrt {6}+12\,\sqrt { 0.0000004839360000\,{x}^{2}+{ 4.227024737\times 10^{-40}}}x }{x}} \right) \sqrt {6}-12\,\sqrt { 0.0000004839360000\,{x}^ {2}+{ 4.227024737\times 10^{-40}}}x \right) \sqrt {6}}{72\,\sqrt { 6.000000001\,{x}^{2}+{ 5.240806311\times 10^{-33}}}\sqrt { 0.0000004839360000\,{x}^{2}+{ 4.227024737\times 10^{-40}}}{ x}^{3}}}=0$$
Can you repost this equation, using symbols for all of the lengthy decimal numbers, followed with a separate list of all the symbols and their respective decimal values? That would make everything much easier to read and work with!