Solve {l}{2a^3-a^2-120=0}{b=1}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { 2 a ^ {3} - a ^ {2} - 120 = 0 }\\ { b = 1 }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Solve for a, b, c, d (complex solution)

$$a=\frac{\sqrt[3]{36\sqrt{32410}+6481}+\sqrt[3]{6481-36\sqrt{32410}}+1}{6}\approx 4.088830765\text{, }b=1\text{, }c=1\text{, }d=1$$

$$a=-\frac{\left(1+\sqrt{3}i\right)\left(-\sqrt{3}\sqrt[3]{36\sqrt{32410}+6481}i-\sqrt[3]{36\sqrt{32410}+6481}+2\sqrt[3]{6481-36\sqrt{32410}}-1+\sqrt{3}i\right)}{24}\approx -1.794415382+3.384404685i\text{, }b=1\text{, }c=1\text{, }d=1$$

$$a=-\frac{\left(-\sqrt{3}i+1\right)\left(-\sqrt{3}i-\sqrt[3]{36\sqrt{32410}+6481}+2\sqrt[3]{6481-36\sqrt{32410}}-1+\sqrt{3}\sqrt[3]{36\sqrt{32410}+6481}i\right)}{24}\approx -1.794415382-3.384404685i\text{, }b=1\text{, }c=1\text{, }d=1$$

Solve for a, b, c, d

$$d=1$$