Solve 10x^3=piyxsin(2952/185)

$$10 { x }^{ 3 } = \pi yx \sin ( \frac{ 2952 }{ 185 } )$$

Solve for x_0 (complex solution)

$$\left\{\begin{matrix}x_{0}=\frac{500000000000000x^{3}}{13745588881853\pi y}\text{, }&y\neq 0\\x_{0}\in \mathrm{C}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$10 {(x)} ^ {3} = \pi y x 0.27491177763706$$

Swap sides so that all variable terms are on the left hand side.

$$\pi yx_{0}\times 0.27491177763706=10x^{3}$$

The equation is in standard form.

$$\frac{13745588881853\pi y}{50000000000000}x_{0}=10x^{3}$$

Divide both sides by 0.27491177763706\pi y.

$$\frac{50000000000000\times \frac{13745588881853\pi y}{50000000000000}x_{0}}{13745588881853\pi y}=\frac{50000000000000\times 10x^{3}}{13745588881853\pi y}$$

Dividing by 0.27491177763706\pi y undoes the multiplication by 0.27491177763706\pi y.

$$x_{0}=\frac{50000000000000\times 10x^{3}}{13745588881853\pi y}$$

Divide 10x^{3} by 0.27491177763706\pi y.

$$x_{0}=\frac{500000000000000x^{3}}{13745588881853\pi y}$$

Solve for x_0

$$\left\{\begin{matrix}x_{0}=\frac{500000000000000x^{3}}{13745588881853\pi y}\text{, }&y\neq 0\\x_{0}\in \mathrm{R}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$10 {(x)} ^ {3} = \pi y x 0.27491177763706$$

Swap sides so that all variable terms are on the left hand side.

$$\pi yx_{0}\times 0.27491177763706=10x^{3}$$

The equation is in standard form.

$$\frac{13745588881853\pi y}{50000000000000}x_{0}=10x^{3}$$

Divide both sides by 0.27491177763706\pi y.

$$\frac{50000000000000\times \frac{13745588881853\pi y}{50000000000000}x_{0}}{13745588881853\pi y}=\frac{50000000000000\times 10x^{3}}{13745588881853\pi y}$$

Dividing by 0.27491177763706\pi y undoes the multiplication by 0.27491177763706\pi y.

$$x_{0}=\frac{50000000000000\times 10x^{3}}{13745588881853\pi y}$$

Divide 10x^{3} by 0.27491177763706\pi y.

$$x_{0}=\frac{500000000000000x^{3}}{13745588881853\pi y}$$

Solve for x (complex solution)

$$x=\frac{4^{\frac{2}{3}}e^{\frac{i\times 2\pi }{3}}\sqrt[3]{13745588881853x_{0}}\sqrt[3]{\pi y}}{200000}$$

$$x=\frac{4^{\frac{2}{3}}\sqrt[3]{13745588881853y}\sqrt[3]{\pi x_{0}}}{200000}$$

$$x=\frac{4^{\frac{2}{3}}e^{\frac{i\times 4\pi }{3}}\sqrt[3]{13745588881853x_{0}}\sqrt[3]{\pi y}}{200000}$$

Solve for x

$$x=\frac{4^{\frac{2}{3}}\sqrt[3]{13745588881853\pi x_{0}y}}{200000}$$