Solve 2xy^2=106

$$2 x y ^ { 2 } = 106$$

Solve for x

$$x=\frac{53}{y^{2}}$$

$$y\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$2y^{2}x=106$$

Divide both sides by 2y^{2}.

$$\frac{2y^{2}x}{2y^{2}}=\frac{106}{2y^{2}}$$

Dividing by 2y^{2} undoes the multiplication by 2y^{2}.

$$x=\frac{106}{2y^{2}}$$

Divide 106 by 2y^{2}.

$$x=\frac{53}{y^{2}}$$

Solve for y (complex solution)

$$y=-\sqrt{53}x^{-\frac{1}{2}}$$

$$y=\sqrt{53}x^{-\frac{1}{2}}\text{, }x\neq 0$$

Solve for y

$$y=\sqrt{\frac{53}{x}}$$

$$y=-\sqrt{\frac{53}{x}}\text{, }x>0$$