Solve s^2=x(-81/2)

$$s ^ { 2 } = x ( - 8 \frac { 1 } { 2 } )$$

Solve for x

$$x=-\frac{2s^{2}}{17}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2s^{2}=2x\left(-\frac{8\times 2+1}{2}\right)$$

Multiply 8 and 2 to get 16.

$$2s^{2}=2x\left(-\frac{16+1}{2}\right)$$

Add 16 and 1 to get 17.

$$2s^{2}=2x\left(-\frac{17}{2}\right)$$

Multiply 2 and -\frac{17}{2} to get -17.

$$2s^{2}=-17x$$

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

$$-17x=2s^{2}$$

Divide both sides by -17.

$$\frac{-17x}{-17}=\frac{2s^{2}}{-17}$$

Dividing by -17 undoes the multiplication by -17.

$$x=\frac{2s^{2}}{-17}$$

Divide 2s^{2} by -17.

$$x=-\frac{2s^{2}}{17}$$

Solve for s (complex solution)

$$s=-\frac{i\sqrt{34x}}{2}$$

$$s=\frac{i\sqrt{34x}}{2}$$

Solve for s

$$s=\frac{\sqrt{-34x}}{2}$$

$$s=-\frac{\sqrt{-34x}}{2}\text{, }x\leq 0$$