Solve z = 2 x^2 y^2

Evaluate

z = 2 x^{2} y^{2}

Rewrite the expression

z = 2 y^{2} x^{2}

Swap the sides of the equation

2 y^{2} x^{2} = z

Divide both sides

\frac{2 y ^{2} x ^{2}}{2 y ^{2}} = \frac{z}{2 y ^{2}}

Divide the numbers

x^{2} = \frac{z}{2 y ^{2}}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{z}{2 y ^{2}}

Simplify the expression

More Steps

x = \pm \frac{2 z}{2 ∣ y ∣}

Separate the equation into 2 possible cases

x = \frac{2 z}{2 ∣ y ∣} x = - \frac{2 z}{2 ∣ y ∣}

Calculate

{x = - \frac{2 z}{2 ∣ y ∣} y \neq = 0 {x = \frac{2 z}{2 ∣ y ∣} y \neq = 0

Solution

x = - \frac{2 z}{2 ∣ y ∣}, y \neq = 0 x = \frac{2 z}{2 ∣ y ∣}, y \neq = 0

Function