Solve y=(x^3+7)divx

$$y=( { x }^{ 3+7 } ) \div x$$

Solve for y

$$y=x^{9}$$

$$x\neq 0$$

Solution Steps

Add 3 and 7 to get 10.

$$y=\frac{x^{10}}{x}$$

Cancel out x in both numerator and denominator.

$$y=x^{9}$$

Solve for x (complex solution)

$$x\in e^{\frac{2\pi i}{9}}\sqrt[9]{y},\sqrt[9]{y},e^{\frac{4\pi i}{9}}\sqrt[9]{y},e^{\frac{2\pi i}{3}}\sqrt[9]{y},e^{\frac{8\pi i}{9}}\sqrt[9]{y},e^{\frac{10\pi i}{9}}\sqrt[9]{y},e^{\frac{4\pi i}{3}}\sqrt[9]{y},e^{\frac{14\pi i}{9}}\sqrt[9]{y},e^{\frac{16\pi i}{9}}\sqrt[9]{y}$$

$$y\neq 0$$

Solve for x

$$x=\sqrt[9]{y}$$

$$y\neq 0$$