Solve {l}{d_{0}=15pa{1/M_{R}sqrt{1+(D/asqrt[3]{frac{E_{p}}{M_{R}}})^2}}{+[1-frac{1/sqrt{1+(frac{D{a})^2}}]}{E_{p}})}

$$\left. \begin{array}{l}{ d _ { 0 } = 15 pa \{ \frac { 1 } { M _ { R } } \sqrt { 1 + ( \frac { D } { a } \sqrt[ 3 ] { \frac { E _ { p } } { M _ { R } } } ) ^ { 2 } } }\\{ + \frac { [ 1 - \frac { 1 } { \sqrt { 1 + ( \frac { D } { a } ) ^ { 2 } } } ] } { E _ { p } } ) }\end{array} \right.$$

Solve for d_0, p, a (complex solution)

$$d_{0}=15ap$$

$$p\in \mathrm{C}$$

$$a\in \mathrm{C}$$

Solve for d_0, p, a

$$d_{0}=15ap$$

$$p\in \mathrm{R}$$

$$a\in \mathrm{R}$$