Finding the roots of a nonlinear equation

Question

Hello I am trying to find the real root of this equation \begin{equation} \mathrm{x}-\mathrm{y}-\frac{\mathrm{j}\,{\left(4\,{\left(\mathrm{t}+\frac{\mathrm{a}}{\mathrm{j}}\right)}^2+\frac{4\,\mathrm{v}}{\mathrm{j}}-\frac{2\,{\mathrm{a}}^2}{{\mathrm{j}}^2}\right)}^{\frac{3}{2}}}{8}+\left(\mathrm{v}+\mathrm{t}\,\mathrm{a}+\frac{\mathrm{j}\,\left({\left(\mathrm{t}+\frac{\mathrm{a}}{\mathrm{j}}\right)}^2+{\mathrm{t}}^2\right)}{2}\right)\,\left(2\,\mathrm{t}+\sqrt{2}\,\sqrt{2\,{\left(\mathrm{t}+\frac{\mathrm{a}}{\mathrm{j}}\right)}^2+\frac{2\,\mathrm{vi}}{\mathrm{j}}-\frac{{\mathrm{a}}^2}{{\mathrm{j}}^2}}+\frac{\mathrm{a}}{\mathrm{j}}\right)+\frac{\mathrm{j}\,\left({\left(\mathrm{t}+\frac{\mathrm{a}}{\mathrm{j}}\right)}^3-{\mathrm{t}}^3\right)}{3}-\frac{{\mathrm{t}}^2\,\left(\mathrm{a}-\mathrm{j}\,\left(\mathrm{t}+\frac{\mathrm{a}}{\mathrm{j}}\right)\right)}{2}- \mathrm{j}\,{\left(\mathrm{t}+\frac{\mathrm{a}}{\mathrm{j}}\right)}^2\,\left(\mathrm{t}+\frac{\mathrm{a}}{2\,\mathrm{j}}\right)-\frac{{\mathrm{t}}^2\,\mathrm{j}\,\left(\mathrm{t}+\frac{\mathrm{a}}{\mathrm{j}}\right)}{2} = 0 \end{equation} to get the value of t where all my constants are real and a >0 , j >0, v >=0, x >0 and y >0 I tried to solve it with maple but I got a complex root. I tried also the fzero function but it is not helpful for since I will be using the result in a C++ program and I am working only with integers. Would tell me please how can I solve this equation or how can I verify that this equation contains a real roots? I am sorry for the lenght of the equation I hope it will be readable. I tried to do my best to make it more readable.