Solve A=5+x^3/2+5/2

$$A = 5 + x ^ { 3 } / 2 + \frac { 5 } { 2 }$$

Solve for A

$$A=\frac{x^{3}+15}{2}$$

Solution Steps

Add 5 and \frac{5}{2} to get \frac{15}{2}.

$$A=\frac{15}{2}+\frac{x^{3}}{2}$$

Since \frac{15}{2} and \frac{x^{3}}{2} have the same denominator, add them by adding their numerators.

$$A=\frac{15+x^{3}}{2}$$

Divide each term of 15+x^{3} by 2 to get \frac{15}{2}+\frac{1}{2}x^{3}.

$$A=\frac{15}{2}+\frac{1}{2}x^{3}$$

Solve for x (complex solution)

$$x=e^{\frac{2\pi i}{3}}\sqrt[3]{2A-15}$$

$$x=\sqrt[3]{2A-15}$$

$$x=e^{\frac{4\pi i}{3}}\sqrt[3]{2A-15}$$

Solve for x

$$x=\sqrt[3]{2A-15}$$