Solve 210=2x^2+x4*8

$$210 = 2 { x }^{ 2 } +x4 \cdot 8$$

Solve for x_4

$$x_{4}=\frac{105-x^{2}}{4}$$

Steps for Solving Linear Equation

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

$$2x^{2}+x_{4}\times 8=210$$

Subtract 2x^{2} from both sides.

$$x_{4}\times 8=210-2x^{2}$$

The equation is in standard form.

$$8x_{4}=210-2x^{2}$$

Divide both sides by 8.

$$\frac{8x_{4}}{8}=\frac{210-2x^{2}}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$x_{4}=\frac{210-2x^{2}}{8}$$

Divide 210-2x^{2} by 8.

$$x_{4}=\frac{105-x^{2}}{4}$$

Solve for x (complex solution)

$$x=-\sqrt{105-4x_{4}}$$

$$x=\sqrt{105-4x_{4}}$$

Solve for x

$$x=\sqrt{105-4x_{4}}$$

$$x=-\sqrt{105-4x_{4}}\text{, }x_{4}\leq \frac{105}{4}$$