Solve -9a1x^3=10

$$- 9 a 1 x ^ { 3 } = 10$$

Solve for a_1

$$a_{1}=-\frac{10}{9x^{3}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\left(-9x^{3}\right)a_{1}=10$$

Divide both sides by -9x^{3}.

$$\frac{\left(-9x^{3}\right)a_{1}}{-9x^{3}}=\frac{10}{-9x^{3}}$$

Dividing by -9x^{3} undoes the multiplication by -9x^{3}.

$$a_{1}=\frac{10}{-9x^{3}}$$

Divide 10 by -9x^{3}.

$$a_{1}=-\frac{10}{9x^{3}}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt[3]{30}a_{1}^{-\frac{1}{3}}}{3}$$

$$x=\frac{\sqrt[3]{30}e^{\frac{\pi i}{3}}a_{1}^{-\frac{1}{3}}}{3}$$

$$x=\frac{\sqrt[3]{30}e^{\frac{5\pi i}{3}}a_{1}^{-\frac{1}{3}}}{3}\text{, }a_{1}\neq 0$$

Solve for x

$$x=-\frac{\sqrt[3]{\frac{30}{a_{1}}}}{3}$$

$$a_{1}\neq 0$$