Solve k=3x*(x y)-6(x y) 1/x-2

Evaluate

k = 3 x \times x y - 6 x y \times \frac{1}{x} - 2

Simplify

More Steps

k = 3 x^{2} y - 6 y - 2

Rewrite the expression

k = 3 y x^{2} - 6 y - 2

Swap the sides of the equation

3 y x^{2} - 6 y - 2 = k

Move the expression to the right-hand side and change its sign

3 y x^{2} = k + 6 y + 2

Divide both sides

\frac{3 y x ^{2}}{3 y} = \frac{k + 6 y + 2}{3 y}

Divide the numbers

x^{2} = \frac{k + 6 y + 2}{3 y}

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

x = \pm \frac{k + 6 y + 2}{3 y}

Simplify the expression

More Steps

x = \pm \frac{3 k y + 18 y ^{2} + 6 y}{3 ∣ y ∣}

Solution

x = \frac{3 k y + 18 y ^{2} + 6 y}{3 ∣ y ∣} x = - \frac{3 k y + 18 y ^{2} + 6 y}{3 ∣ y ∣}

Function