Solve y(x)=0.0005x^3-0.38x2=120*200

$$y(x)=0.0005 { x }^{ 3 } -0.38x2=120 \times 200$$

Solve for x_2

$$x_{2}=\frac{x^{3}-48000000}{760}$$

Steps for Solving Linear Equation

Multiply 120 and 200 to get 24000.

$$0.0005x^{3}-0.38x_{2}=24000$$

Subtract 0.0005x^{3} from both sides.

$$-0.38x_{2}=24000-0.0005x^{3}$$

The equation is in standard form.

$$-0.38x_{2}=-\frac{x^{3}}{2000}+24000$$

Divide both sides of the equation by -0.38, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-0.38x_{2}}{-0.38}=\frac{-\frac{x^{3}}{2000}+24000}{-0.38}$$

Dividing by -0.38 undoes the multiplication by -0.38.

$$x_{2}=\frac{-\frac{x^{3}}{2000}+24000}{-0.38}$$

Divide 24000-\frac{x^{3}}{2000} by -0.38 by multiplying 24000-\frac{x^{3}}{2000} by the reciprocal of -0.38.

$$x_{2}=\frac{x^{3}}{760}-\frac{1200000}{19}$$

Solve for x (complex solution)

$$x=e^{\frac{i\times 2\pi }{3}}\sqrt[3]{760x_{2}[phone]}$$

$$x=\sqrt[3]{760x_{2}[phone]}$$

$$x=e^{\frac{i\times 4\pi }{3}}\sqrt[3]{760x_{2}[phone]}$$

Solve for x

$$x=\sqrt[3]{760x_{2}[phone]}$$